BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Algebraic Cobordism
DTSTART;VALUE=DATE-TIME:20091216T103000Z
DTEND;VALUE=DATE-TIME:20091216T123000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-241@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
241
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=241
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cellular automata and groups: dynamical aspects of infinite groups
DTSTART;VALUE=DATE-TIME:20091221T103000Z
DTEND;VALUE=DATE-TIME:20091221T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-331@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
331
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=331
END:VEVENT
BEGIN:VEVENT
SUMMARY:Faces of polytopes and Koszul algebras
DTSTART;VALUE=DATE-TIME:20100108T090000Z
DTEND;VALUE=DATE-TIME:20100108T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-389@cern.ch
DESCRIPTION:Given a reductive Lie algebra g and a finite-dimensional simpl
e g-module V\, we study the category G of graded finite-dimensional module
s over (g xV). This includes truncated current Lie algebras as well as tho
se associated to folding complex simple Lie algebras. Given a face of the
polytope formed by the weights of V\, we introduce a partial order on the
simple objects in G. Using this\, for certain finite subsets of the affine
weight lattice\, we produce quasi-hereditary Koszul algebras of finite gl
obal dimension. (Joint with Vyjayanthi Chari and\nTim Ridenour.)\n\nhttps:
//indico.tifr.res.in/indico/conferenceDisplay.py?confId=389
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=389
END:VEVENT
BEGIN:VEVENT
SUMMARY:Calculating class numbers via special types of units
DTSTART;VALUE=DATE-TIME:20100111T090000Z
DTEND;VALUE=DATE-TIME:20100111T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-405@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
405
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=405
END:VEVENT
BEGIN:VEVENT
SUMMARY:Minimal representations and applications to functoriality
DTSTART;VALUE=DATE-TIME:20100113T060000Z
DTEND;VALUE=DATE-TIME:20100113T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-388@cern.ch
DESCRIPTION:A proof of minimality of the reflection representation. Defin
ition of N-rank of representations of reductive groups.\n\nhttps://indico
.tifr.res.in/indico/conferenceDisplay.py?confId=388
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=388
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Abelianized fundamental group scheme of a family of varieties.
DTSTART;VALUE=DATE-TIME:20100114T090000Z
DTEND;VALUE=DATE-TIME:20100114T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-408@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
408
LOCATION:Colaba Campus AG-66
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=408
END:VEVENT
BEGIN:VEVENT
SUMMARY:Special values of zeta functions of varieties
DTSTART;VALUE=DATE-TIME:20100202T103000Z
DTEND;VALUE=DATE-TIME:20100202T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-404@cern.ch
DESCRIPTION:The course will be accessible to graduate students who have do
ne a first course in Algebraic Geometry and Algebraic Number Theory.\n\nht
tps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=404
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=404
END:VEVENT
BEGIN:VEVENT
SUMMARY:Riemannian Geometry.
DTSTART;VALUE=DATE-TIME:20100205T060000Z
DTEND;VALUE=DATE-TIME:20100205T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-240@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
240
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=240
END:VEVENT
BEGIN:VEVENT
SUMMARY:The splitting principle\, representations of GL_n and cohomology o
f flag varieties
DTSTART;VALUE=DATE-TIME:20100302T090000Z
DTEND;VALUE=DATE-TIME:20100302T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-499@cern.ch
DESCRIPTION:In these talks\, we shall se how the theory of the algebraic r
epresentations of the general linear group $GL_n$ and the cohomology of fl
ag varieties (like Grassmann varieties) can be understood by a method call
ed `splitting principle'. Another incarnation of this method is the follow
ing: starting from a monic polynomial $P\\in k[T]$\, one may introduce sp
litting field $K$\nwhich is an extension of $k$ such that $P$ writes as $(
X - x_1) (X - x_2) \\dots (X - x_n) in $K[T]. In representation theory\,
the role of the roots $x_i$ if $P$ shall be played by characters of the d
iagonal torus of $GL_n$ and in the cohomological study of flag varieties\,
these $x_i$ will be related to some line bundles (i\,e.\, vector bundles
of rank 1) on the complete flag variety.\nAn application of this method is
the proof of some formulas for Chern classes by reducing to very simple c
ases. We shall see that .............(contd.) \nsatisfy some `splitting pr
inciple'.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId
=499
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=499
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hypoelliptic Laplacian and orbital integrals
DTSTART;VALUE=DATE-TIME:20100302T060000Z
DTEND;VALUE=DATE-TIME:20100302T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-534@cern.ch
DESCRIPTION:The hypoelliptic Laplacian is a natural family of second order
operators acting on the total space of the (co)tangent bundle of a smooth
compact manifold\, which interpolates between the classical Hodge Laplaci
an (in de Rham or Dolbeault theory) and the geodesic flow. It is essential
ly a weighted sum of the harmonic oscillator along the fibre and of the ve
ctor field generating the geodesic flow. This hypoelliptic deformation com
es itself from a deformation of the associatd Hodge theory\, and of the co
rresponding Dirac operator. The analytic properties of the hypoelliptic La
placian have been established by Lebeau and ourselves. If G is a reduc
tive group with Lie algebra g\, we have applied this method to the explic
it evaluation of semisimple orbital integrals. If X = G/K is the associa
ted symmetric space\, the hypoelliptic deformation of the Casimir acts on
X \\times g. The orbital integrals are shown to be independent of the def
ormation parameter. Localization on closed geodesics leads to an explicit
formula for the orbital ingegrals. In this lecture\, I will review the abo
ve constructions and results.\n\nhttps://indico.tifr.res.in/indico/confere
nceDisplay.py?confId=534
LOCATION:Colaba Campus AG-66
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=534
END:VEVENT
BEGIN:VEVENT
SUMMARY:Congruence of Galois representation and anticyclotomic Z_p-extens
ions
DTSTART;VALUE=DATE-TIME:20100315T090000Z
DTEND;VALUE=DATE-TIME:20100315T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-559@cern.ch
DESCRIPTION:I will discuss the relation between the congruence of Galois r
epresentations and the corresponding Selmer groups over anticyclotomic Z_p
-extensions.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?con
fId=559
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=559
END:VEVENT
BEGIN:VEVENT
SUMMARY:Motivic decomposition of abelian schemes without the Fourier tran
sform
DTSTART;VALUE=DATE-TIME:20100727T060000Z
DTEND;VALUE=DATE-TIME:20100727T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-721@cern.ch
DESCRIPTION:Let $f:A\\to S$ be abelian scheme. We rpove that for any $n$ i
nvertible on $S$\, the Leray spectral sequence for $f$ with coefficients
$Z/n$ degenerates canonically. This is also true for $l$-adic cohomology
and for Betti cohomology with integral coefficients if $S$ is a $C$-scheme
. We deduce from this some integrality results for the K\\"unneth project
ors associated to the motive of $A$. This is a joint work with A. Skorobo
gatov.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=72
1
LOCATION:Colaba Campus Maths. Seminar Room A369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=721
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vector Bundles on a Strange Curve
DTSTART;VALUE=DATE-TIME:20100803T061500Z
DTEND;VALUE=DATE-TIME:20100803T071500Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-731@cern.ch
DESCRIPTION:We explain recent work of Fontaine and Fargues which uses the
Harder-Narasimhan filtration to construct $p$-adic Galois representations.
\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=731
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=731
END:VEVENT
BEGIN:VEVENT
SUMMARY:Admissible normal functions
DTSTART;VALUE=DATE-TIME:20100803T223000Z
DTEND;VALUE=DATE-TIME:20100803T233000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-732@cern.ch
DESCRIPTION:Normal functions are certain transcendental objects introduced
by Poincare in a 1910 paper and later used by Lefschetz to prove the Hodg
e conjecture for algebraic surfaces\, i.e.\, the Lefschetz(1.1) theorem. T
he key to Lefschetz's proof\, whichis already present in Poincare's work\,
is that the normal functions that arise from Hodge classes on algebraic
surfaces are essentially algebraic objects. ........contd....... I will d
iscuss normal functions ending with a recent theorem coming from joint wor
k with G.Pearlstein (also obtained independently by C. Schnell) showing th
at the zero locus of an admissible normal function is algebraic.\n\nhttps:
//indico.tifr.res.in/indico/conferenceDisplay.py?confId=732
LOCATION:Colaba Campus Maths.Seminar Room A-369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=732
END:VEVENT
BEGIN:VEVENT
SUMMARY:Positivity\, coherent sheaves\, and representation theory
DTSTART;VALUE=DATE-TIME:20100803T103000Z
DTEND;VALUE=DATE-TIME:20100803T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-737@cern.ch
DESCRIPTION:A number of questions in representation theory involve an end
omorphism algebra endowed with a natural Z-grading\; sometimes\, deep cons
equences follow if it can be shown that the negative-degree components va
nish. I will explain several instances of such `positivity phenomena' in d
erived categories of coherent sheaves\, following work of Arkhipov\, Bezru
kavnikov\, Ginzburg\, and others. I will then discuss a new approach to p
roving positivity theorems\, followed by some potential applications.\n\nh
ttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=737
LOCATION:Colaba Campus Maths. Seminar Room A-369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=737
END:VEVENT
BEGIN:VEVENT
SUMMARY:Numerical modulo p Langlands correspondence for Hecke modules
DTSTART;VALUE=DATE-TIME:20100805T061500Z
DTEND;VALUE=DATE-TIME:20100805T071500Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-734@cern.ch
DESCRIPTION:Let F be a p-adic field and let $n \\geq 1$. We have the equa
lity of N=M where N is the number of smooth irreducible n-dimensional mod
p representations of the absiolute Galois group of F (with fixed determi
nant of a Frobenius)\, and M is the number of simple n-dimensional supersi
ngular mod p modules (with fixed action of a uniformizer) of the pro-p-Iwa
hori Hecke algebra of GL(n\,F).\n\nhttps://indico.tifr.res.in/indico/confe
renceDisplay.py?confId=734
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=734
END:VEVENT
BEGIN:VEVENT
SUMMARY:Coloring simple hypergraphs
DTSTART;VALUE=DATE-TIME:20100811T103000Z
DTEND;VALUE=DATE-TIME:20100811T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-744@cern.ch
DESCRIPTION:Many problems in number theory\, discrete geometry\, coding th
eory and combinatorics can be phrased as problems about finding the indepe
ndence number of certain hypergraphs. One of the most famous examples is t
he result of Komlos-Pintz-Szemeredi (1982) on the independence number of 3
-uniform hypergraphs which made important progress on the decades old Heil
bronn problem in combinatorial geometry.\nAfter a brief introduction to th
ese topics\, I will show an upper bound on the chromatic number of certain
hypergraphs. ........contd.\nThis talk will be accessible to a general ma
thematical audience.\n\nhttps://indico.tifr.res.in/indico/conferenceDispla
y.py?confId=744
LOCATION:Colaba Campus AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=744
END:VEVENT
BEGIN:VEVENT
SUMMARY:Equivariant Infinite Loop Spaces
DTSTART;VALUE=DATE-TIME:20100813T090000Z
DTEND;VALUE=DATE-TIME:20100813T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-746@cern.ch
DESCRIPTION:Generalized cohomology theories such as singular cohomology an
d topological K-theory can be represented by spectra. (Connective spectra
can be described at the space level by infinite loop spaces. In this talk
we will describe equivariant infinite loop spaces which come up in the stu
dy of generalized equivariant cohomology theories such as equivariant K-th
eory. When the group acting G is finite\, Costenoble and Waner showed tha
t group like equivariant E_infty - spaces model equivariant infinite loop
spaces. .................contd...... Following Segal's work\, we give a co
nstruction of Gamma-soaces (and hence equivariant infinite loop spaces) st
arting from symmetric monoidal G-categories where G is a finite group.\n\n
https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=746
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=746
END:VEVENT
BEGIN:VEVENT
SUMMARY:Remarks on analysis on arithmetic quotients
DTSTART;VALUE=DATE-TIME:20100922T103000Z
DTEND;VALUE=DATE-TIME:20100922T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-810@cern.ch
DESCRIPTION:In recent years\, I have come to make several conjectures abou
t Eisenstein series defined on arithmetic quotients $\\Gamma \\backslash G
$. If what I hope to occur turns out to be valid\, this project will offer
among other things a new proof of several parts of Langlands' 1965 constr
uction\, which has not been significantly improved in 45 years. I cannot c
laim that my ideas are simple\, but I shall try to give some idea of what
is involved. In working on this\, I have been agttempting to write a text
on the subject\, and have also found somewhat simpler proofs of old and re
lated results\, also from the 1960s.\n\nhttps://indico.tifr.res.in/indico/
conferenceDisplay.py?confId=810
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=810
END:VEVENT
BEGIN:VEVENT
SUMMARY:Some structural results for the stability of Root Numbers
DTSTART;VALUE=DATE-TIME:20101124T103000Z
DTEND;VALUE=DATE-TIME:20101124T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-980@cern.ch
DESCRIPTION:In the Langlands-Shahidi method\, one uses local coefficients
to define local root numbers. One needs to prove the stability of these ro
ot numbers upon twists by highly ramified characters\, in order to establi
sh functoriality using converse theorems. This stability has been establis
hed for all cases of interest in functoriality under an assumption that tw
o sets appearing in the calculation of local\ncoefficients are the same. I
n this talk\, we will discuss my proof of this assumption.\nMore precisely
\, let G be a quasi-split connected reductive algebraic group defined ov
er a local field k. Let B = TU be a Borel subgroup of G over k\, and P =MN
the Levi decomposition of a standard self associate maximal parabolic P o
f G over k\, where ..............(contd.)\n\nhttps://indico.tifr.res.in/in
dico/conferenceDisplay.py?confId=980
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=980
END:VEVENT
BEGIN:VEVENT
SUMMARY:Discrete groups acting on complex projective spaces
DTSTART;VALUE=DATE-TIME:20101208T053000Z
DTEND;VALUE=DATE-TIME:20101208T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1017@cern.ch
DESCRIPTION:Classical Kleinian groups are discrete subgroups of PSL(2\,C):
these have a natural action on the complex projective line\, with a very
rich geometry and dynamics. In this talk\, we shall speak about the analog
ous situation in higher dimensional\, that is\, discrete subgroups of PU(n
\,1)\, the group of holomorphic automorphisms of complex hyperbolic n-spac
e.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1017
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1017
END:VEVENT
BEGIN:VEVENT
SUMMARY:Twists of symmetric bundles
DTSTART;VALUE=DATE-TIME:20101224T060000Z
DTEND;VALUE=DATE-TIME:20101224T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1040@cern.ch
DESCRIPTION:In 1984 J.-P. Serre proved a formula relating the Hasse-Witt i
nvariant of the quadratic form $x \\to Tr_{E/K}(x^2)$ associated to a fini
te separable extension of E of a field K of characteristic $\\neq$ 2 with
the second Stiefel-Whitney class of the permutation representation of the
Galois group of E. The similarity between this formula and the one he obt
ained when considering a covering of Riemann surfaces with odd ramificatio
n led him to pose the question of the existence of a general result contai
ning the previous ones as particular cases. After recalling the for mulas
of Fr\\"hlich and Serre for quadratic forms on fields\, we will present
results obtained in a joint work with B. Erez and M.J. Taylor. Working wi
th symmetric bundles attached to certain etale or tame coverings of scheme
s\, we will present formulas for the invariants attached to these forms wh
ich provide a positive answer to Serre"s question. These results generaliz
e some previous work of Esnault\, Kahn and Viehweg.\n\nhttps://indico.tifr
.res.in/indico/conferenceDisplay.py?confId=1040
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1040
END:VEVENT
BEGIN:VEVENT
SUMMARY:Parahoric and Parabolic Bundles
DTSTART;VALUE=DATE-TIME:20110107T060000Z
DTEND;VALUE=DATE-TIME:20110107T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1073@cern.ch
DESCRIPTION:Not given.\n\nhttps://indico.tifr.res.in/indico/conferenceDisp
lay.py?confId=1073
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1073
END:VEVENT
BEGIN:VEVENT
SUMMARY:Calculations in Exceptional Groups over Rings
DTSTART;VALUE=DATE-TIME:20110202T090000Z
DTEND;VALUE=DATE-TIME:20110202T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1100@cern.ch
DESCRIPTION:One of the major discoveries of the late XIX and XX century wa
s construction\, alongside with the familiar classical linear\, symplecti
c\, and orthogonal groups\, of the 5 exceptional groups of types $E_6\, E_
7\, E_8\, F_4$ and $G_2$. These groups form an inalienable part of the cla
ssification of simple Lie groups\, simple algebraic groups\, finite simple
groups\, etc. It is easy to calculate in classical groups using their sm
all degree matrix representations. Calculations in exceptional groups over
fields are based on short canonical forms\, such as Bruhat or Gauss decom
position. However\, over rings no such canonical forms can possibly exist
\, in general. Thus\, one has to use representation theory.\nIn the presen
t series of seminars we describe a major project carried forward by the au
thor and his students\, which allows direct matarix calculations in except
ional Chevalley groups as matarices of degrees 27x27\, 56x56\,248x248\, 27
x27 and 8x8 respectively. We describe several key reductions and simplific
ations proposed by the author\, jointly with Stepanov and Plotkin\, and th
en jointly with Gavrilovich\, Nikolenko and Luzgarev\, which make such com
putations feasible. I will discuss also some typical applications\,such a
s structure theorems\, description of [various classes of] subgroups\, and
lower K-theory. ............contd........ To make these seminars accessib
le to students\, I plan to start with briefly recalling some basic definit
ions and methods used for groups over fields and for classical groups.\n\n
https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1100
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1100
END:VEVENT
BEGIN:VEVENT
SUMMARY:Geometry of monoids and F_1- schemes.
DTSTART;VALUE=DATE-TIME:20110214T103000Z
DTEND;VALUE=DATE-TIME:20110214T120000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1182@cern.ch
DESCRIPTION:Lately there has been a lot of interest in the field of one el
ement denoted by F_1 in the context of arithmetic geometry and number theo
ry. The definition of such a field is \nguided by what happens to the geom
etry over\nF_1 as q tends to 1. In this talk we will define F_1-schemes
as defined by Connes and\nConsani. We will define algebraic K-theory of
F_1-schemes and in particular show that the K-theory of F_1 is the stable
homotopy groups of spheres. This is a joint work with Chenghao Chu and O
liver Lorschied.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py
?confId=1182
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1182
END:VEVENT
BEGIN:VEVENT
SUMMARY:John Milnor's work on Differential Topology
DTSTART;VALUE=DATE-TIME:20110419T090000Z
DTEND;VALUE=DATE-TIME:20110419T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1301@cern.ch
DESCRIPTION:The Norwegian Academy of Sciences has announced the award of t
he 2011 Abel Prize to John Willard Milnor for his diverse contributions to
Differential Topology\, Algebraic Topology\, Dynamical Systems\, Singular
ity Theory and Algebra. In this talk\, I will outline some of his work in
Differential Topology such as existence of non-standard differentiable str
uctures on spheres and the counter example to the\nHauptvermutung.\n\nhttp
s://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1301
LOCATION:Colaba Campus AG-66
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1301
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dynamical methods for rapid computations of L-functions
DTSTART;VALUE=DATE-TIME:20110506T103000Z
DTEND;VALUE=DATE-TIME:20110506T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1352@cern.ch
DESCRIPTION:Let f be a holomorphic or Maass cusp form on the upper half pl
ane. We use the slow divergence of the horocycle flow on the upper half pl
ane to get an algorithm to compute \n$L(f\, 1/2 +iT)$ upto a maximum error
\n$O(T^{-\\gamma)$ using $o(T^{7/8+\\eta})$ operations. Here $\\gamma $ a
nd $\\eta $ are any positive numbers and the constants in O are independen
t of T. We thus improve the current approximate functional equation based
algorithms which have complexity $O(T^{1+\\eta})$.\n\nhttps://indico.tifr
.res.in/indico/conferenceDisplay.py?confId=1352
LOCATION:Colaba Campus AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1352
END:VEVENT
BEGIN:VEVENT
SUMMARY:Classification of discrete series representations of classical gro
ups
DTSTART;VALUE=DATE-TIME:20110720T103000Z
DTEND;VALUE=DATE-TIME:20110720T123000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1516@cern.ch
DESCRIPTION:Abstract is yet to receive.\n\nhttps://indico.tifr.res.in/indi
co/conferenceDisplay.py?confId=1516
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1516
END:VEVENT
BEGIN:VEVENT
SUMMARY:What Frobenius did to syzygy bundles
DTSTART;VALUE=DATE-TIME:20110729T090000Z
DTEND;VALUE=DATE-TIME:20110729T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1534@cern.ch
DESCRIPTION:In this talk I will discuss the pull-back of a semistable vect
or bundle on a smooth projective curve under the Frobenius morphism. I wil
l describe explicit examples of stable rank two syzygy bundles which are
isomorphic to their Frobenius pull-back\n(joint work with Kaid) and give t
wo classes of examples of bundles on a relative curve over the affine line
where generically the bundle is strongly semistable\, but not so for spec
ial points (joint work with Staebler).\n\nhttps://indico.tifr.res.in/indic
o/conferenceDisplay.py?confId=1534
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1534
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arithmetic of automorphic L-functions
DTSTART;VALUE=DATE-TIME:20110803T103000Z
DTEND;VALUE=DATE-TIME:20110803T123000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1535@cern.ch
DESCRIPTION:In this work\, working exclusively with GL(2) over Q\, I will
introduce the three main ingredients in understanding special values: (i)
DEfinition of certain periods attached to automorphic forms\; these period
s arise via a comparison of rational structures on Whittaker models and on
cuspidal cohomology\; (ii) Relations amongst these periods\; and (iii) In
terpretting the classical Hecke-Mellin transform of a modular form as a Po
incare duality pairing. The entire discussion will be in the language of a
utomorphic representations\, and will reprove classical results of Manin a
nd Shimura on the critical values of L-functions of modular forms. (Pre-re
quisites: Bump's book\, and some sheaf-cohomology. Reference: My paper wit
h Naomi Tanabe titled `Notes on the arithmetic of Hilbert modular forms.')
\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1535
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1535
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arithmetic of automorphic L-functions
DTSTART;VALUE=DATE-TIME:20110805T103000Z
DTEND;VALUE=DATE-TIME:20110805T123000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1536@cern.ch
DESCRIPTION:This is in continuation of my first talk on the same topic. I
n this talk\, I will\npresent my recent work with Harald Grobnet on the sp
ecial values of L-functions\nfor GL(2n) over a totally real number field F
. Here the periods arise via a comparison of rational structures on Shalik
a models (if there is one at hand) and top-degree cuspidal cohomology. Res
ults on L-values will follow by giving a\ncohomological interpretation to
certain zeta-integrals of Friedberg and Jacquet. Time and mood permitting\
, I will discuss the implications for classical L-functions like symmetric
power L-functions oof a modular form\, or the degree four \n`Spinor' L-fu
nction of a genus-twi Siegel modular form. (Pre-requisites: First talk !\n
If F=Q and n=1\, the situation is exactly as in the first talk.)\n\nhttps:
//indico.tifr.res.in/indico/conferenceDisplay.py?confId=1536
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1536
END:VEVENT
BEGIN:VEVENT
SUMMARY:Periods of quaternionic Shimura varieties
DTSTART;VALUE=DATE-TIME:20110818T090000Z
DTEND;VALUE=DATE-TIME:20110818T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1599@cern.ch
DESCRIPTION:In the early 80's\, Shimura made a precise conjecture (up to a
lgebraic\nfactors) relating Petersson inner products of arithmetic automor
phic forms\non quaternion algebras over a totally real field. This conject
ure (which is\na consequence of the Tate conjecture on algebraic cycles) w
as mostly proved\na few years later by Michael Harris. In the first half o
f my talk I will\nmotivate and describe an integral version of Shimura's c
onjecture i.e. up to\np-adic units for a good prime p. In the second half
I will describe work in\nprogress (joint with Atsushi Ichino) that makes s
ome progress in\nunderstanding this refined conjecture.\n\nhttps://indico.
tifr.res.in/indico/conferenceDisplay.py?confId=1599
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1599
END:VEVENT
BEGIN:VEVENT
SUMMARY:Standard modules -and L-functions- conjecture of Shahidi
DTSTART;VALUE=DATE-TIME:20110823T103000Z
DTEND;VALUE=DATE-TIME:20110823T123000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1600@cern.ch
DESCRIPTION:A famous conjecture of Shahidi says that if a Langlands quotie
nt is generic\, \nthen the Langlands quotient is the representation itself
. This conjecture\nwas known for real groups by Vogan\, and by Casselman-S
hahidi for classical \ngroups which this author recently proved in general
. There is also\na conjecture -called the L-functions conjecture- about
holomorphy\nof L-functions associated to tempered \nrepresentations in re
(s)$ > 0$ which is used in the above conjecture.\n\nhttps://indico.tifr.r
es.in/indico/conferenceDisplay.py?confId=1600
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1600
END:VEVENT
BEGIN:VEVENT
SUMMARY:The work of Misha Gromov
DTSTART;VALUE=DATE-TIME:20110913T060000Z
DTEND;VALUE=DATE-TIME:20110913T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1674@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
1674
LOCATION:Colaba Campus AG-66
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1674
END:VEVENT
BEGIN:VEVENT
SUMMARY:An Archive for People's History: the case of Roja Muthiah Research
Library
DTSTART;VALUE=DATE-TIME:20110930T053000Z
DTEND;VALUE=DATE-TIME:20110930T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1706@cern.ch
DESCRIPTION:There are different types of Archives - State\, Private\, Scie
nce\, Corporate\,\nFamily archives and so on. However\, in common parlance
the idea of an\nArchive is usually associated with the State. These archi
ves have certain\nnature and characteristics related to power and authorit
y. On the other hand\nthere are private archives and libraries which do no
t have the support like\nthe State Archives. Their policies could be unde
rstood from the nature of\nthe collection. The Roja Muthiah Research Libra
ry is indeed an archive which\ndeveloped from the private collection of la
te Roja Muthiah of Kottaiyur\,\nTamilnadu. The archive represents an eclec
tic range of material\; mostly\npaper based\, thus representing both the p
rint culture and also argues a \ncase for a\ncollection that can be looked
up for writing people's history. The\npresentation will be showcasing the
range of material available in the\ncollection.\n\nhttps://indico.tifr.re
s.in/indico/conferenceDisplay.py?confId=1706
LOCATION:Colaba Campus AG-80
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1706
END:VEVENT
BEGIN:VEVENT
SUMMARY:A Tour of Ulrich Bundles
DTSTART;VALUE=DATE-TIME:20111005T090000Z
DTEND;VALUE=DATE-TIME:20111005T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1720@cern.ch
DESCRIPTION:In this talk\, we will introduce Ulrich bundles on smooth\,\np
rojective varieties. We will discuss various aspects of the subject\,\ninc
luding the classification of Ulrich bundles\, the relations of Ulrich\nbun
dles to representations of generalized Clifford algebras\, and\nrepresenta
tions of varieties as determinants and Pfaffians.\n\nhttps://indico.tifr.r
es.in/indico/conferenceDisplay.py?confId=1720
LOCATION:Colaba Campus AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1720
END:VEVENT
BEGIN:VEVENT
SUMMARY:Subgroups of a Chevalley group\, containing the elementary subgrou
p over a subring
DTSTART;VALUE=DATE-TIME:20111031T090000Z
DTEND;VALUE=DATE-TIME:20111031T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1750@cern.ch
DESCRIPTION:All rings are assumed to be commutative with 1.\nLet $K$ be a
ring\, let $S\\subseteq A$ be $K$-algebras and $G$ an algebraic group.\nTh
is is a well known problem: to describe lattice of subgroups between\n$G(
S)$ and~$G(A)$.\n\nThe talk is about this problem for a Chevalley--Demazur
e group scheme \n$G=\\G(\\Phi)$\nwith a root system $\\Phi\\ne A_1$ over $
K=\\Z$. For a ring $R$ let $E(R)=\n\\E(\\Phi)$\ndenote the elementary subg
roup of $G(R)$. We consider a slightly bigger lattice\,\nnamely\, the latt
ice of subgroups between $E(S)$ and $G(A)$.\n\nThe standard description of
this lattice is called standard sandwich calssification(SSC).\\begin{defn
}\nFix a triple $(\\Phi\,S\,A)$. The SSC holds if given a subgroup\n$H$ be
tween $E(S)$ and $G(A)$ there exists a unique subring $R$ between\n$S$ and
$A$ such that\n$$\nE(R)\\le H\\le N_A(R)\n$$\n\n\\noindent\nwhere $N_A(R)
$ denotes the normalizer of $E(R)$ in $G(A)$.\n\\end{defn}\nRecently I hav
e proved that for doubly laced root systems (i.\\\,e. \n$\\Phi=B_l\,C_l$\n
the SSC holds for an arbitrary pair of rings provided that 2 is invertible
in \n$R$.\nTogether with another my result and a result of Ya. Nuzhin thi
s gives a final \nanswer \nto the question for which field extensions $A/S
$ and root systems the SSC holds.\nBy simple group theoretical arguments t
he SSC can be extended to subgroups of\n$G(A)$ nomalized by $E(S)$.\n\nI s
hall exhibit known results and my new results mentioned above and\nshow th
e main steps of the proof illustrating them with examples of $G=\\SL_n$\n(
if the step gets through for this group scheme) or $G=\\Sp_{2n}$.\nAlso I
shall state a conjecture about the final answer and show some immediate\np
roblems in frames of this conjecture.\n\nhttps://indico.tifr.res.in/indico
/conferenceDisplay.py?confId=1750
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1750
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Level-Zero Jacquet-Langlands Correspondence in the Parabolic I
nduction Case: D^x_2d \\leftrightarrow M_2(D_d)^x
DTSTART;VALUE=DATE-TIME:20111115T103000Z
DTEND;VALUE=DATE-TIME:20111115T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1776@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
1776
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1776
END:VEVENT
BEGIN:VEVENT
SUMMARY:Primes or Almost-Primes on Quadrics
DTSTART;VALUE=DATE-TIME:20111124T053000Z
DTEND;VALUE=DATE-TIME:20111124T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1791@cern.ch
DESCRIPTION:Diophantine equations and prime numbers form two important\nre
search areas in number theory\, and it is therefore natural to\nconsider a
hybrid problem from these two areas: the existence of prime\nsolutions to
Diophantine equations. In this talk I will report a joint\nresult with Pe
ter Sarnak in this direction\, on almost-prime solutions\nto quadratic equ
ations in three variables. Our strategy differs from\nthe previous ones by
applying ideas from various fields of mathematics\nsuch as the algebraic
theory of quadratic forms\, the Jacquet-Langlands\ncorrespondence in the t
heory of automorphic representations\, the\nharmonic analysis method of Se
lberg\, as well as nonlinear\ncombinatorial sieves.\n\nhttps://indico.tifr
.res.in/indico/conferenceDisplay.py?confId=1791
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1791
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Quadratic base change for p-adic SL(2) as a theta-correspondence
DTSTART;VALUE=DATE-TIME:20111125T103000Z
DTEND;VALUE=DATE-TIME:20111125T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1788@cern.ch
DESCRIPTION:In this talk I will consider quadratic base change for SL(2) o
ver a p-adic\nfield as a theta-correspondence. I will emphasize supercuspi
dal\nrepresentations and lattice models of the Weil representation.\n\nhtt
ps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1788
LOCATION:Colaba Campus Maths. Seminar Room A-369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1788
END:VEVENT
BEGIN:VEVENT
SUMMARY:Compactification of Bruhat-Tits buildings and Berkovich geometry\,
an overview
DTSTART;VALUE=DATE-TIME:20111125T043000Z
DTEND;VALUE=DATE-TIME:20111125T053000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1792@cern.ch
DESCRIPTION:Let G be reductive group over a local field k. During the 60's
and the\n70's\, F. Bruhat and J. Tits have been elaborating a very subtle
description\nof the structure of the group G(k) in geometric terms\, usin
g the Euclidean\nbuilding of G. The latter object can be seen\, from many
viewpoints\, as an\nanalogue of the Riemannian symmetric space attached to
a real semisimple Lie\ngroup. During the 80's\, V. Berkovich has been dev
eloping an approach to\nanalytic geometry over non-Archimedean fields\, en
riching the classical\ntheory due to Tate-Raynaud. He also mentioned a nat
ural connection with\nBruhat-Tits theory from the very beginning. In this
talk\, I will present\njoint work with A. Thuillier and A. Werner in which
we extend V. Berkovich's\nideas on Bruhat-Tits theory. We also show that
they allow one to define and\nstudy compactifications of the Bruhat-Tits b
uilding of G over k. These\ncompactifications can also be obtained by proc
edures generalizing Satake's\ntechniques for symmetric spaces.\n\nhttps://
indico.tifr.res.in/indico/conferenceDisplay.py?confId=1792
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1792
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Sato-Tate conjecture
DTSTART;VALUE=DATE-TIME:20111207T103000Z
DTEND;VALUE=DATE-TIME:20111207T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1844@cern.ch
DESCRIPTION:We will discuss recent developments on the Sato-Tate conjectur
e for the Ramanujan \\tau-function as well as its\nconsequences.\n\nhttps:
//indico.tifr.res.in/indico/conferenceDisplay.py?confId=1844
LOCATION:Colaba Campus AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1844
END:VEVENT
BEGIN:VEVENT
SUMMARY:Infinite Series in Ancient India
DTSTART;VALUE=DATE-TIME:20111208T060000Z
DTEND;VALUE=DATE-TIME:20111208T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1846@cern.ch
DESCRIPTION:We're used to thinking of infinite series as a topic in calcul
us\,\ndeveloped mostly as a result of the invention of calculus in\nsevent
eenth-century Europe. But important results about\nseries and sums were a
lso found and used in some\nremarkable ways by mathematicians in India cen
turies earlier.\nWe'll discuss some of the work underlying notable\ndiscov
eries such as the Madhava-Leibniz series for pi\, the\nMadhava-Gregory ser
ies for the arctangent\, and the Madhava-Newton\nseries for sine and cosin
e.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1846
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1846
END:VEVENT
BEGIN:VEVENT
SUMMARY:General continued fractions and Thue equations
DTSTART;VALUE=DATE-TIME:20111209T060000Z
DTEND;VALUE=DATE-TIME:20111209T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1848@cern.ch
DESCRIPTION:In order to solve Thue equations\, we need to obtain a lower b
ound for the\nsize of solutions as well as an upper bound for it\, and in
order to obtain\na lower bound we often use normal continued fractions. H
owever\, if we\nwant solve a family of Thue equations of some type\, norma
l continued\nfractions are not sufficient. Hence\, we introduce general c
ontinued\nfractions\, that is\, continued fractions with rational partial
quotients\,\nand we generalize Legendre's theorem on principal convergents
to general\ncontinued fractions. We give also applications to some famili
es of Thue\nequations.\n\nhttps://indico.tifr.res.in/indico/conferenceDisp
lay.py?confId=1848
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1848
END:VEVENT
BEGIN:VEVENT
SUMMARY:Differential Galois theory
DTSTART;VALUE=DATE-TIME:20111214T103000Z
DTEND;VALUE=DATE-TIME:20111214T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1857@cern.ch
DESCRIPTION:A general report about the present status of the Galois theory
of\ndifferential equations \, especially results of Umemura \, Malgrange
\, Ramis\n(and myself)\n\nhttps://indico.tifr.res.in/indico/conferenceDisp
lay.py?confId=1857
LOCATION:Colaba Campus AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1857
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stark-Heegner points for totally real fields
DTSTART;VALUE=DATE-TIME:20111215T060000Z
DTEND;VALUE=DATE-TIME:20111215T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1862@cern.ch
DESCRIPTION:The classical theory of complex multiplication predicts the\ne
xistence of certain points called Heegner points defined over\nquadratic i
maginary fields on\nelliptic curves (the curves themselves are defined ove
r the rational\nnumbers). Henri Darmon observed that under\ncertain condit
ions\, the Birch and Swinnerton-Dyer conjecture predicts\nthe existence of
points of infinite order defined over real quadratic\nfields on elliptic
curves\, and under such conditions\, came up with a\nconjectural construct
ion of such points\, which he called Stark-Heegner\npoints. Later\, he and
others extended this construction to many other\nnumber fields. We will g
ive a general construction of Stark-Heegner\npoints defined over quadratic
extensions of totally real fields\n(subject to some\nrestrictions)\; this
is joint work with Mak Trifkovic. This\nconstruction uses (in particular)
theorems of Matsushima-Shimura and\nHarder on the cohomology of arithmeti
c groups associated to totally\nreal fields\, and in order to\ngeneralize
our construction to quadratic extensions of arbitrary\nnumber fields\, we
seek analogs of these results for arbitrary number\nfields\, which we will
mention in our talk.\n\nhttps://indico.tifr.res.in/indico/conferenceDispl
ay.py?confId=1862
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1862
END:VEVENT
BEGIN:VEVENT
SUMMARY:Integral canonical models of Shimura varieties of Hodge type
DTSTART;VALUE=DATE-TIME:20111221T103000Z
DTEND;VALUE=DATE-TIME:20111221T120000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1878@cern.ch
DESCRIPTION:We report on recent works that complete the proof of the\nexis
tence of integral canonical models of Shimura varieties of Hodge type\nwit
h respect to hyperspecial subgroups in arbitrary unramified mixed\ncharact
eristic (0\,p). The method used are of mixture of crystalline\ncohomology
machinery and of reductive group schemes theory.\n\nhttps://indico.tifr.re
s.in/indico/conferenceDisplay.py?confId=1878
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1878
END:VEVENT
BEGIN:VEVENT
SUMMARY:Moduli of maximal orders on surfaces
DTSTART;VALUE=DATE-TIME:20111222T060000Z
DTEND;VALUE=DATE-TIME:20111222T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1880@cern.ch
DESCRIPTION:There is no abstract.\n\nhttps://indico.tifr.res.in/indico/con
ferenceDisplay.py?confId=1880
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1880
END:VEVENT
BEGIN:VEVENT
SUMMARY:Overview of the Atlas Project
DTSTART;VALUE=DATE-TIME:20120112T053000Z
DTEND;VALUE=DATE-TIME:20120112T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1925@cern.ch
DESCRIPTION:The Atlas of Lie Groups and Representations is a project\nto u
se computers to study the unitary dual of real groups.\nI will give an ove
rview of the project\, beginning with a\nsummary of the mathematical backg
round\, and including a\ndemonstration of the software. I will aim the tal
k at\nnon-specialists in real groups\, and questions will be\nencouraged.\
n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1925
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1925
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dual groups of spherical varieties and an extension of the Langla
nds conjectures
DTSTART;VALUE=DATE-TIME:20120116T053000Z
DTEND;VALUE=DATE-TIME:20120116T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1942@cern.ch
DESCRIPTION:Spherical varieties form a wide class of interesting (almost)
homogeneous\nspaces for reductive groups\, which includes symmetric spaces
\, flag\nvarieties and others. If $X=H\\backslash G$ is such a variety\, t
he problem of\ndistinction asks when does an irreducible representation $\
\pi$ of $G(k)$\, where \n$k$ is a local field\, appear in the space of fun
ctions on $X$\; and globally\, \nfor which automorphic representations of
$G$ is the period integral over an \norbit of $H$ non-zero. \\\\\n\nI wil
l explain how one attaches a dual group to a spherical variety\n(following
Gaitsgory and Nadler\, and later work of Venkatesh and myself\,\nall base
d on results of Brion\, Knop and others). And how this dual group\nanswers
(conjecturally) some of the above questions\, in a way that\ngeneralizes
some of the Langlands conjectures (which correspond to the\nspherical vari
ety $X=H\, G=H \\times H$).\n\nhttps://indico.tifr.res.in/indico/conferenc
eDisplay.py?confId=1942
LOCATION:Colaba Campus A-369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1942
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arithmetic QUE
DTSTART;VALUE=DATE-TIME:20120117T053000Z
DTEND;VALUE=DATE-TIME:20120117T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1947@cern.ch
DESCRIPTION:There is no abstract.\n\nhttps://indico.tifr.res.in/indico/con
ferenceDisplay.py?confId=1947
LOCATION:Colaba Campus A-369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1947
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Kuznetsov trace formula and eigenvalues of Hecke operators on
Hilbert modular groups
DTSTART;VALUE=DATE-TIME:20120117T103000Z
DTEND;VALUE=DATE-TIME:20120117T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1948@cern.ch
DESCRIPTION:We apply the Kuznetsov trace formula to obtain a result on the
\nasymptotic distribution of eigenvalues of Hecke operators on Maass cusp\
nforms for Hilbert modular groups (joint with R. Bruggeman).\n\nhttps://in
dico.tifr.res.in/indico/conferenceDisplay.py?confId=1948
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1948
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lifting of Siegel Modular Forms
DTSTART;VALUE=DATE-TIME:20120123T053000Z
DTEND;VALUE=DATE-TIME:20120123T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1960@cern.ch
DESCRIPTION:There is no abstract.\n\nhttps://indico.tifr.res.in/indico/con
ferenceDisplay.py?confId=1960
LOCATION:Colaba Campus A-369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1960
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lifting of Siegel Modular Forms
DTSTART;VALUE=DATE-TIME:20120124T053000Z
DTEND;VALUE=DATE-TIME:20120124T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1961@cern.ch
DESCRIPTION:There is in continuation of his\nfirst lecture of 23rd Jan.\n\
nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1961
LOCATION:Colaba Campus A-369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1961
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lifting of Siegel Modular Forms
DTSTART;VALUE=DATE-TIME:20120125T053000Z
DTEND;VALUE=DATE-TIME:20120125T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1962@cern.ch
DESCRIPTION:This is in continuation\nof his second lecture of 24th Jan.\n\
nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1962
LOCATION:Colaba Campus A-369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1962
END:VEVENT
BEGIN:VEVENT
SUMMARY:Homogeneous bundles over abelian varieties
DTSTART;VALUE=DATE-TIME:20120206T103000Z
DTEND;VALUE=DATE-TIME:20120206T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1981@cern.ch
DESCRIPTION:The talks will address a special class of principal bundles\no
ver an abelian variety: those that are isomorphic to their pull-backs\nund
er all translations. Using some structure theory of algebraic groups\, we
will present a classification of these `homogeneous' bundles\, with\nappli
cations to projective bundles and the Brauer group of abelian\nvarieties.\
nPlan :\n1.Structure of algebraic groups (possibly nonlinear)\n2.Classific
ation of homogeneous bundles over abelian varieties\n3. Homogeneous pr
ojective bundles: irreducible bundles and the\nBrauer group\n\nhttps://ind
ico.tifr.res.in/indico/conferenceDisplay.py?confId=1981
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1981
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mod- \\phi convergence
DTSTART;VALUE=DATE-TIME:20120208T103000Z
DTEND;VALUE=DATE-TIME:20120208T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2010@cern.ch
DESCRIPTION:Using Fourier analysis\, we study local limit theorems in\nwea
k-convergence problems. Among many applications\, we discuss random matrix
\ntheory\, some probabilistic models in number theory\, the winding number
of\ncomplex brownian motion and the classical situation of the central li
mit\ntheorem. Another application\, is to a conjecture of Ramachandra that
the\nvalues of the Riemann zeta function on the critical line is dense in
complex\nnumbers\, assuming a weak form of a conjecture of Keating and Sn
aith.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=201
0
LOCATION:Colaba Campus Maths. Seminar Room A-369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2010
END:VEVENT
BEGIN:VEVENT
SUMMARY:Homogeneous bundles over abelian varieties
DTSTART;VALUE=DATE-TIME:20120210T103000Z
DTEND;VALUE=DATE-TIME:20120210T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1982@cern.ch
DESCRIPTION:This is in continuation of his first lecture of 6th February\,
2012.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=19
82
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1982
END:VEVENT
BEGIN:VEVENT
SUMMARY:Homogeneous bundles over abelian varieties
DTSTART;VALUE=DATE-TIME:20120213T103000Z
DTEND;VALUE=DATE-TIME:20120213T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-1983@cern.ch
DESCRIPTION:This is in continuation of his\nsecond lecture of 10th Februar
y\,\n2012.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confI
d=1983
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=1983
END:VEVENT
BEGIN:VEVENT
SUMMARY:Are there kernels of Functoriality ? The case of identity transfer
of GL(2)
DTSTART;VALUE=DATE-TIME:20120215T103000Z
DTEND;VALUE=DATE-TIME:20120215T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2012@cern.ch
DESCRIPTION:There is no abstract.\n\nhttps://indico.tifr.res.in/indico/con
ferenceDisplay.py?confId=2012
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2012
END:VEVENT
BEGIN:VEVENT
SUMMARY:Are there kernels of Functoriality ? The case of identity transfer
of GL(2)
DTSTART;VALUE=DATE-TIME:20120217T103000Z
DTEND;VALUE=DATE-TIME:20120217T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2017@cern.ch
DESCRIPTION:There is no abstract. This is in \ncontinuation of his lecture
of\n15 February\, 2012.\n\nhttps://indico.tifr.res.in/indico/conferenceDi
splay.py?confId=2017
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2017
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Geometry of Hitchin map
DTSTART;VALUE=DATE-TIME:20120222T103000Z
DTEND;VALUE=DATE-TIME:20120222T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2032@cern.ch
DESCRIPTION:I will begin with some basic definition and show that the\nspa
ce of non-very stable vector bundles over a compact Riemann\nsurface of ge
nus 2 is a K3 surface. Lastly I will explain the\n`Geometry of Hitchin map
'.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2032
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2032
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the reduction modulo p of certain modular Galois representation
s
DTSTART;VALUE=DATE-TIME:20120229T103000Z
DTEND;VALUE=DATE-TIME:20120229T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2053@cern.ch
DESCRIPTION:We determine the modulo p reduction of p-adic Galois represent
ations\nassociated to certain modular forms with arbitrarily large weight.
\nConfining the crystalline slope to (0\,1)\, the reductions can be comput
ed\nby a weight lowering technique. We show that the mod p Galois represen
tation\ncomes from an eigenform with sufficiently small weight and apply k
nown\nresults for the small weights range.\n\nhttps://indico.tifr.res.in/i
ndico/conferenceDisplay.py?confId=2053
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2053
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mock Modular Forms and Quantum Black Holes
DTSTART;VALUE=DATE-TIME:20120302T060000Z
DTEND;VALUE=DATE-TIME:20120302T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2061@cern.ch
DESCRIPTION:I will explain the relation between mermorphic Jacobi forms\,
mock Jacobi\nforms\, and the wall-crossing phenomenon in certain problems
in enumerative\ngeometry along with the physics context of quantum black h
oles in which they\narise.\n\nAnalysis of the generating functions for qua
ntum degeneracies of a class of\nblack holes in string theory leads to an
infinite family of meromorphic\nJacobi forms. This family (and another rel
ated one) in turn furnishes a\nlist of examples of mock modular and mock J
acobi forms. This list contains\nmany known mock modular forms including t
he mock theta functions of\nRamanujan\, the generating function of Hurwitz
-Kronecker class numbers\, the\nmock modular form conjecturally related to
the Mathieu group M24\, as well as\nan infinite number of new examples.\n
\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2061
LOCATION:Colaba Campus Maths. Seminar Room A-369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2061
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nevanlinna theory and (arithmetic) Intersection theory
DTSTART;VALUE=DATE-TIME:20120314T060000Z
DTEND;VALUE=DATE-TIME:20120314T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2075@cern.ch
DESCRIPTION:There is no abstract.\n\nhttps://indico.tifr.res.in/indico/con
ferenceDisplay.py?confId=2075
LOCATION:Colaba Campus Maths. Seminar Room A-369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2075
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the local and global exterior square L-functions of GL_n
DTSTART;VALUE=DATE-TIME:20120321T103000Z
DTEND;VALUE=DATE-TIME:20120321T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2096@cern.ch
DESCRIPTION:We show that construction of the exterior square L-function du
e\nto Jacquet and Shalika yields the `correct' L-function (that is\nthe Ga
lois L-function defined via the local Langlands Correspondence)\nfor squar
e integrable representations and\, more generally\, for all\nirreducible a
dmissible representations when n is even. Time\npermitting\, we will explo
re a few consequences.\n\nhttps://indico.tifr.res.in/indico/conferenceDisp
lay.py?confId=2096
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2096
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bad reduction of polarized self maps
DTSTART;VALUE=DATE-TIME:20120409T110000Z
DTEND;VALUE=DATE-TIME:20120409T120000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2124@cern.ch
DESCRIPTION:We will analyzed simple conductor and critical conductor for\n
polarized self maps of projective varieties defined over a field with a\n
discrete valuation or a number field or a function field of a smooth\ncurv
e. We will explain that potential good reduction is equivalent to\nisotriv
iality for self maps of the projective n-space . We will also\nexplain a f
initeness theorem in the spirit of Shafarevich-Faltings for\nself maps of
the projective line when the critical conductor is fixed.\n\nhttps://indic
o.tifr.res.in/indico/conferenceDisplay.py?confId=2124
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2124
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the Kneser-Tits problem
DTSTART;VALUE=DATE-TIME:20120420T103000Z
DTEND;VALUE=DATE-TIME:20120420T123000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2146@cern.ch
DESCRIPTION:The lecture will survey the famous Kneser-Tits problem for\nse
mi-simple groups\nover general fields\, and report on recent works on the
problem.\n\nThe lecture will be in two parts\, the first hour will be expo
sitory in\nnature\, followed by some\ndetails in the 2nd half after a tea
break.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=21
46
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2146
END:VEVENT
BEGIN:VEVENT
SUMMARY:Families of rational curves on hypersurfaces
DTSTART;VALUE=DATE-TIME:20120502T103000Z
DTEND;VALUE=DATE-TIME:20120502T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2184@cern.ch
DESCRIPTION:I will discuss the irreducibilty and dimensions of families of
\nrational curves on hypersurfaces. These results show some of the\nGromov
-Witten invariants are enumerative. This is a joint work with Roya\nBehesh
ti.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2184
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2184
END:VEVENT
BEGIN:VEVENT
SUMMARY:Families of rational curves on hypersurfaces
DTSTART;VALUE=DATE-TIME:20120504T103000Z
DTEND;VALUE=DATE-TIME:20120504T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2185@cern.ch
DESCRIPTION:This is in continuation of his first lecture of May 02\, 2012.
\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2185
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2185
END:VEVENT
BEGIN:VEVENT
SUMMARY:Families of rational curves on hypersurfaces
DTSTART;VALUE=DATE-TIME:20120508T103000Z
DTEND;VALUE=DATE-TIME:20120508T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2186@cern.ch
DESCRIPTION:This is on continuation of his second lecture of May 04\, 2012
\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2186
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2186
END:VEVENT
BEGIN:VEVENT
SUMMARY:Space of negatively curved metrics
DTSTART;VALUE=DATE-TIME:20120509T103000Z
DTEND;VALUE=DATE-TIME:20120509T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2201@cern.ch
DESCRIPTION:I'll talk on joint work with Pedro Ontaneda where we show that
\nthe space of all negatively curved Riemannian metrics on a closed smooth
\nmanifold of dimension >9 is either empty or disconnected.\n\nhttps://ind
ico.tifr.res.in/indico/conferenceDisplay.py?confId=2201
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2201
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Generalized Ramanujan Conjectures
DTSTART;VALUE=DATE-TIME:20120521T060000Z
DTEND;VALUE=DATE-TIME:20120521T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2229@cern.ch
DESCRIPTION:One of the central problems in the modern theory of automorphi
c forms is the Generalized Ramanujan Conjecture. We review the development
and \nformulation of these conjectures as well as recent progress. While
the general Conjecture is not known\, even for GL(2)\, strong approximatio
ns towards it have been established and we will illustrate how these suffi
ce for various striking applications.\n\nhttps://indico.tifr.res.in/indico
/conferenceDisplay.py?confId=2229
LOCATION:Colaba Campus AG-66
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2229
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thin Groups and Expansion
DTSTART;VALUE=DATE-TIME:20120522T060000Z
DTEND;VALUE=DATE-TIME:20120522T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2230@cern.ch
DESCRIPTION:Infinite index subgroups of matrix groups like SL(n\,Z) which
are Zariski\ndense in SL(n)\, arise in many geometric and diophantine prob
lems (eg reflection groups\, groups connected with elementary geometry suc
h as integral apollonian packings\, monodromy groups of families of algebr
aic varieties..). One of the key features needed for number theoretic \nap
plications is that these groups obey some form of the Ramanujan Conjecture
s. In this context this asserts that certain congruence graphs associated
with these groups are expanders. We will introduce these ideas and review
some of the many recent developments.\n\nhttps://indico.tifr.res.in/indic
o/conferenceDisplay.py?confId=2230
LOCATION:Colaba Campus AG-66
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2230
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mobius Randomness and Horocycle Dynamics
DTSTART;VALUE=DATE-TIME:20120523T060000Z
DTEND;VALUE=DATE-TIME:20120523T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2231@cern.ch
DESCRIPTION:The Mobius function mu(n) is minus one to the number of distin
ct \nprime factors of n if n has no square factors and zero otherwise.\nUn
derstanding the randomness (often referred to as the `Mobius\nrandomness p
rinciple' in this function is a fundamental and very\ndifficult problem. W
e will explain a precise dynamical formulation of\nthe randomness and repo
rt on recent advances establishing it. In\nparticular the disjointness of
the resulting Mobius Flow from \nhorocycle flows and related horocycle dyn
amics at ``prime times''.\n\nhttps://indico.tifr.res.in/indico/conferenceD
isplay.py?confId=2231
LOCATION:Colaba Campus AG-66
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2231
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cohomologically induced distinguished representations and cohomolo
gical test vectors
DTSTART;VALUE=DATE-TIME:20120523T103000Z
DTEND;VALUE=DATE-TIME:20120523T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2263@cern.ch
DESCRIPTION:Abstract has not been given\n\nhttps://indico.tifr.res.in/indi
co/conferenceDisplay.py?confId=2263
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2263
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nodal Lines of Maass Forms and Critical Percolation
DTSTART;VALUE=DATE-TIME:20120524T060000Z
DTEND;VALUE=DATE-TIME:20120524T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2232@cern.ch
DESCRIPTION:We describe some results concerning the number of connected co
mponents of nodal lines of high frequency Maass forms on the modular surfa
ce. Based on heuristics connecting these to an exactly solvable critical p
ercolation model\, Bogomolny and Schmit have conjectured\, and numerics c
onfirm\, that this number follows an asymptotic law. While proving this ap
pears to be very difficult\, some approximations to it can be proved by de
veloping number theoretic and analytic methods (Joint with A. Ghosh\nand A
. Reznikov).\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?con
fId=2232
LOCATION:Colaba Campus AG-66
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2232
END:VEVENT
BEGIN:VEVENT
SUMMARY:Conservation relations for local theta correspondence
DTSTART;VALUE=DATE-TIME:20120524T103000Z
DTEND;VALUE=DATE-TIME:20120524T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2264@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
2264
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2264
END:VEVENT
BEGIN:VEVENT
SUMMARY:Conservation relations for local theta correspondence
DTSTART;VALUE=DATE-TIME:20120524T103000Z
DTEND;VALUE=DATE-TIME:20120524T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2265@cern.ch
DESCRIPTION:Abstract has not been given.\n\nhttps://indico.tifr.res.in/ind
ico/conferenceDisplay.py?confId=2265
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2265
END:VEVENT
BEGIN:VEVENT
SUMMARY:Galois representations with open image
DTSTART;VALUE=DATE-TIME:20120710T090000Z
DTEND;VALUE=DATE-TIME:20120710T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2333@cern.ch
DESCRIPTION:Suppose that p is a prime and that\nn \\ge 1. Let G_{\\bf Q}
= Gal(\\overline{\\bf Q}/{\\bf Q}) be the absolute\nGalois group of {\\bf
Q}. Let {\\bf Z}_p denote the ring of\np-adic integers. Our purpose in
this talk is to describe a way of\nconstructing continuous representation
s\n\n \\rho: G_{\\bf Q} ~\\longrightarrow ~ GL_n({\\bf Z}_p)\n\nwhose ima
ge is open. This means that the image of $\\rho$ has finite index in\nGL_
n({\\bf Z}_p). We can do this for\nmany pairs $(n\,p)$. One typical resu
lt is the following:\n\nProposition: Suppose that p is a regular prime
and\nthat p \\ge 4\\big[ \\frac{n}{2} \\big] + 1. Then there exists a cont
inuous\nrepresentation \\rho as above with open image.\n\nhttps://indico.t
ifr.res.in/indico/conferenceDisplay.py?confId=2333
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2333
END:VEVENT
BEGIN:VEVENT
SUMMARY:Harmonic analysis on covers of reductive groups
DTSTART;VALUE=DATE-TIME:20120717T113000Z
DTEND;VALUE=DATE-TIME:20120717T123000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2341@cern.ch
DESCRIPTION:The metaplectic covers of connected reductive groups arise nat
urally in\nvarious problems in number theory\, such as the theta\nlifting
and multiple Dirichlet series. In this talk\, I will introduce some\naspec
ts of this ever-growing body of research.\n\nhttps://indico.tifr.res.in/in
dico/conferenceDisplay.py?confId=2341
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2341
END:VEVENT
BEGIN:VEVENT
SUMMARY:Endoscopic classification of automorphic representations on quasi-
split unitary groups
DTSTART;VALUE=DATE-TIME:20120731T103000Z
DTEND;VALUE=DATE-TIME:20120731T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2372@cern.ch
DESCRIPTION:Recent work of Arthur establishes the endoscopic classificatio
n\nof automorphic representations on quasi-split orthogonal and symplectic
\ngroups (modulo stabilization of the twisted trace formula). In this talk
\nwe report on the current work on extending Arthur's results to unitary\n
groups.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2
372
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2372
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Ramanujan Conjecture in higher degree
DTSTART;VALUE=DATE-TIME:20120823T103000Z
DTEND;VALUE=DATE-TIME:20120823T123000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2411@cern.ch
DESCRIPTION:In the last years the generalized\n`Ramanujan Conjecture' prov
ed for modular forms by Eichler\, Shimura and\nDeligne has been extended t
o higher rank\nautomorphic forms on GL(n). I will sketch the proof\, start
ing\nfrom `classical' case and introducing on the way\nseveral (deep) int
ermediate results due to many people.\n\nThe lectures will be of 2 hours d
uration with a small break in-between.\n\nhttps://indico.tifr.res.in/indic
o/conferenceDisplay.py?confId=2411
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2411
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Ramanujan Conjecture in higher degree
DTSTART;VALUE=DATE-TIME:20120828T103000Z
DTEND;VALUE=DATE-TIME:20120828T123000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2424@cern.ch
DESCRIPTION:This is his second lecture in the series.\n\nhttps://indico.ti
fr.res.in/indico/conferenceDisplay.py?confId=2424
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2424
END:VEVENT
BEGIN:VEVENT
SUMMARY:Towards the cohomogical construction of Breuil-Kisin modules
DTSTART;VALUE=DATE-TIME:20120829T090000Z
DTEND;VALUE=DATE-TIME:20120829T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2423@cern.ch
DESCRIPTION:I will present an approach to the construction of Breuil-Kisin
\nmodules using crystalline cohomology. Along the way\, we will define a n
ew\nPD-base for crystalline cohomology that improves in some respects\nupo
n the ring S used by Breuil.\n\nhttps://indico.tifr.res.in/indico/conferen
ceDisplay.py?confId=2423
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2423
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Ramanujan Conjecture in higher degree
DTSTART;VALUE=DATE-TIME:20120911T103000Z
DTEND;VALUE=DATE-TIME:20120911T123000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2454@cern.ch
DESCRIPTION:This is his second lecture in the series.\n\nhttps://indico.ti
fr.res.in/indico/conferenceDisplay.py?confId=2454
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2454
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Ramanujan Conjecture in higher degree
DTSTART;VALUE=DATE-TIME:20120912T083000Z
DTEND;VALUE=DATE-TIME:20120912T103000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2463@cern.ch
DESCRIPTION:This is his third lecture in the series.\n\nhttps://indico.tif
r.res.in/indico/conferenceDisplay.py?confId=2463
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2463
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Tate conjecture for K3 surfaces over fields of odd character
istic
DTSTART;VALUE=DATE-TIME:20120921T090000Z
DTEND;VALUE=DATE-TIME:20120921T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2465@cern.ch
DESCRIPTION:This will be a follow up talk to the colloquium talk.\n\nhttps
://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2465
LOCATION:Colaba Campus AG-66
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2465
END:VEVENT
BEGIN:VEVENT
SUMMARY:A Counterexample to the Cancellation Problem for Affine Spaces
DTSTART;VALUE=DATE-TIME:20120926T060000Z
DTEND;VALUE=DATE-TIME:20120926T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2480@cern.ch
DESCRIPTION:The Cancellation Problem for Affine Spaces\n(also known as Zar
iski Problem) asks:\nif $V$ is an affine variety over an algebraically clo
sed field $k$\nsuch that $V \\times \\A^1_k \\cong \\A^{n+1}_k$\,\ndoes it
follow that $V \\cong \\A_k^n$?\nEquivalently\, if $A$ is an affine $k$-a
lgebra\nsuch that $A[X]$ is isomorphic to the polynomial ring $k[X_1\, \\d
ots\,\nX_{n+1}]$\,\ndoes it follow that $A$ is isomorphic to $k[X_1\, \\do
ts\, X_n]$?For $n=1$\, an affirmative solution to the problem was given by
\nS. Abhyankar\, P. Eakin and W. Heinzer (1972).\nFor $n=2$\, an affirmati
ve solution to the problem was given by\nT. Fujita (1979)\, M. Miyanishi a
nd T. Sugie (1980)\nin characteristic zero and by\nP. Russell (1981) in po
sitive characteristic.\n\nOver a field $k$ of positive characteristic\,\nT
. Asanuma (1987) constructed a three-dimensional $k$-algebra $A$\nsuch tha
t $A[T]$ is isomorphic to $k[X_1\,X_2\,X_3\, X_4]$.\nThe example gave rise
to (in the words of P. Russell)\n``Asanuma's Dilemma''. For\, if $A$ were
isomorphic to $k[X_1\, X_2\,\nX_3]$\, then this\nwould give a counterexam
ple to the Linearisation Problem over\n$\\A_k^3$ in positive characteristi
c\; if not\, then a counterexample to\nthe Cancellation Problem.\n\nIn thi
s talk we will show that Asanuma's example $A$ is not\nisomorphic to $k[X_
1\, X_2\, X_3]$.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py
?confId=2480
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2480
END:VEVENT
BEGIN:VEVENT
SUMMARY:Modularity of Galois representations
DTSTART;VALUE=DATE-TIME:20121017T060000Z
DTEND;VALUE=DATE-TIME:20121017T073000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2530@cern.ch
DESCRIPTION:I will give a series of lectures on the technique of Wiles & T
aylor-Wiles\nwhich resulted in the proof of modularity of elliptic curves
that are\ndefined over \\mathbb Q.\n\nhttps://indico.tifr.res.in/indico/co
nferenceDisplay.py?confId=2530
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2530
END:VEVENT
BEGIN:VEVENT
SUMMARY:Differential modular forms
DTSTART;VALUE=DATE-TIME:20121107T090000Z
DTEND;VALUE=DATE-TIME:20121107T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2553@cern.ch
DESCRIPTION:Differential modular forms are obtained by applying the\narith
metic p-jet space functor (adjoint to the p-typical\nWitt vector functor)
to the ring of p-adic modular forms.\nDifferential modular forms are usefu
l to solve certain Diophantine\nproblems. I will explain how the concept o
f differential modular forms\ncan be generalized to totally real fields.\n
\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2553
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2553
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Dual reductive pairs\, and Exceptional Lie groups'
DTSTART;VALUE=DATE-TIME:20121213T103000Z
DTEND;VALUE=DATE-TIME:20121213T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2637@cern.ch
DESCRIPTION:ABSTRACT: \n\nDual reductive pairs are important algebraic obj
ects in\nrepresentation theory of p-adic groups.\nThese were studied by Ro
ger Howe for the symplectic group\, and through the\nWeil representation o
f the symplectic group\, play an important role in the\nsubject.\nIn this
lecture\, we classify dual reductive pairs in all excetional Lie\ngroups.
As a step in this\ndirection\, we also discuss classification of exception
al Lie groups over\ngeneral fields in terms of Octonion and Jordan algebr
as\, and then use\nHasse principle for Galois cohomology to classify them
over number fields.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay
.py?confId=2637
LOCATION:Colaba Campus AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2637
END:VEVENT
BEGIN:VEVENT
SUMMARY:Automorphisms of positive entropy on compact Kahler or algebraic v
arieties
DTSTART;VALUE=DATE-TIME:20121227T103000Z
DTEND;VALUE=DATE-TIME:20121227T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2665@cern.ch
DESCRIPTION:ABSTRACT:\n\nAn automorphism g on a compact variety X is of po
sitive entropy if\nits action on the cohomology groups of X is of expandin
g type.\nWe report recent results on the relation between the geometry of
X and\nthe existence of such expanding g and characterise those X with a m
aximal\nnumber of such g of expanding type.\n\nhttps://indico.tifr.res.in/
indico/conferenceDisplay.py?confId=2665
LOCATION:Colaba Campus AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2665
END:VEVENT
BEGIN:VEVENT
SUMMARY:Two problems in the Theory of Partitions
DTSTART;VALUE=DATE-TIME:20130103T103000Z
DTEND;VALUE=DATE-TIME:20130103T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2672@cern.ch
DESCRIPTION:Abstract:\nThe Theory of Partitions has blossomed into a wonde
rful\nsubject with incredibly many ramifications and applications\, for\ne
xample\, in q-series\, Theory of Modular Forms\, Mock Theta functions\netc
. We consider two recent topics of interest in this field. The\nfirst one
concerns the smallest parts function spt(n)\, introduced by\nGeorge Andre
ws in 2008\, which has attracted a lot of attention. We\ngive a new genera
lization of this function\, namely Spt_j(n)\, and give\nits combinatorial
interpretation in terms of successive lower-Durfee\nsquares. We then gener
alize the higher order spt-function spt_k(n)\,\ndue to F. G. Garvan\, to j
_spt_k(n)\, thus providing a two-fold\ngeneralization of spt(n)\, and give
its combinatorial interpretation.\nThis also allows us to generalize Garv
an's famous inequality between\n2k-th moments of rank and crank to an ineq
uality between 2k-th moments\nof j-rank and (j+1)-rank. This is joint work
with Ae Ja Yee\n(Pennsylvania State University).\n The second topic dea
ls with certain useful partial\ndifferential equations associated with par
tition statistics. In 2003\,\nA. O. L. Atkin and F.G. Garvan obtained a PD
E linking rank and crank\ngenerating functions. The method of deriving thi
s PDE was elementary\nand used Theory of Elliptic Functions. Higher order
PDEs were recently\nfound by S. P. Zwegers using ideas motivated from the
Theory of Jacobi\nForms. Here\, we show that these higher order PDEs may b
e obtained from\na generalized Lambert series identity\, which proves them
much in the\nspirit of Atkin and Garvan’s proof of the Rank-Crank PDE.
This is\njoint work with Song Heng Chan (Nanyang Technological University)
and\nF. G. Garvan (University of Florida).\n\nhttps://indico.tifr.res.in/
indico/conferenceDisplay.py?confId=2672
LOCATION:Colaba Campus AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2672
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bessel models and special values of L-functions.
DTSTART;VALUE=DATE-TIME:20130107T103000Z
DTEND;VALUE=DATE-TIME:20130107T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2692@cern.ch
DESCRIPTION:Abstract: \nIn this talk we survey recent results on existence
and uniqueness\nof Bessel models in the context of Gross-Prasad conjectur
es\, and explain \nthe conjectural relationship to special values of L-fun
ctions for GSp(4). This is joint work with D. Prasad.\n\nhttps://indico.ti
fr.res.in/indico/conferenceDisplay.py?confId=2692
LOCATION:Colaba Campus AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2692
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arithmetic Invariant Theory and rational points on Hyper-elliptic
curves
DTSTART;VALUE=DATE-TIME:20130109T103000Z
DTEND;VALUE=DATE-TIME:20130109T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2705@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
2705
LOCATION:Colaba Campus AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2705
END:VEVENT
BEGIN:VEVENT
SUMMARY:Euler class groups and Chow-Witt groups
DTSTART;VALUE=DATE-TIME:20130110T103000Z
DTEND;VALUE=DATE-TIME:20130110T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2699@cern.ch
DESCRIPTION:ABSTRACT:\nIn the past decade and half\, two theories (as in t
he title) have been developed to provide obstruction classes for splitting
of projective\nmodules. We will survey both and consider connections betw
een them.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId
=2699
LOCATION:Colaba Campus AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2699
END:VEVENT
BEGIN:VEVENT
SUMMARY:Leavitt path algebras
DTSTART;VALUE=DATE-TIME:20130111T103000Z
DTEND;VALUE=DATE-TIME:20130111T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2708@cern.ch
DESCRIPTION:ABSTRACT:\n\nThis talk is about graphs and algebras. We start
with a graph and build an algebra out of it. Then we ask if we change a gr
aph\, what will happen to the algebra. We show that the algebra constructe
d in this way appears in several fields\, including symbolic dynamics. We
use graded rothendieck group K_0 as an invariant to classify these algebra
s.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2708
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2708
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elliptic curves with large rank
DTSTART;VALUE=DATE-TIME:20130117T103000Z
DTEND;VALUE=DATE-TIME:20130117T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2717@cern.ch
DESCRIPTION:ABSTRACT:\n\nThere are exactly 15 possible torsion groups for
elliptic curves over Q\, but little is known about which values of rank ar
e possible. We will describe some of the methods used in construction of e
lliptic curves with relatively high rank and prescribed torsion group. We
will also present some recent results concerning elliptic curves over quad
ratic and quartic fields.\nWe will discuss possible applications of ellipt
ic curves with large torsion and positive rank over number fields of small
degree (instead over Q) in Elliptic curve factorization method (ECM).\n\n
https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2717
LOCATION:Colaba Campus AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2717
END:VEVENT
BEGIN:VEVENT
SUMMARY:Film - Late Style - Yuri I. Manin Looking Back on a Life in Mathem
atics
DTSTART;VALUE=DATE-TIME:20130121T103000Z
DTEND;VALUE=DATE-TIME:20130121T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2729@cern.ch
DESCRIPTION:This film is about the life of an exceptional mathematician in
unusual times\, who forged his own freedom by following his passion: math
ematics.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
2729
LOCATION:Colaba Campus AG-66
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2729
END:VEVENT
BEGIN:VEVENT
SUMMARY:Film - Wolfgang Doeblin - a mathematician rediscovered
DTSTART;VALUE=DATE-TIME:20130121T114500Z
DTEND;VALUE=DATE-TIME:20130121T124500Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2730@cern.ch
DESCRIPTION:In the year 2000\, 60 years after it was sent\, the sealed let
ter of Wolfgang Doeblin is finally opened. It causes a sensation among mat
hematicians.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?con
fId=2730
LOCATION:Colaba Campus AG-66
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2730
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mod p representations of GL_n of p-adic fields
DTSTART;VALUE=DATE-TIME:20130130T060000Z
DTEND;VALUE=DATE-TIME:20130130T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2745@cern.ch
DESCRIPTION:Abstract\n\nLet F be a finite extension of Q_p. A mod p local
Langlands correspondence is known for GL_2(Q_p) and believed to exist bet
ween mod p\nrepresentations of the absolute Galois group of F and certain
mod p\nrepresentations of GL_n(F) for arbitrary F and n. A major obstacle
to the study of the correspondence is that the supersingular mod p repres
entations of GL_n(F)\, which by recent work of Herzig are known to be the
building blocks of the mod p representation theory of this group\, are ver
y poorly understood. After an introduction to the mod p representation the
ory of GL_n(F)\, we will discuss recently discovered obstacles to understa
nding the supersingular representations\, as well as what is known.\n\nhtt
ps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2745
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2745
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hyperholomorphic sheaves and deformations of K3 surfaces
DTSTART;VALUE=DATE-TIME:20130131T103000Z
DTEND;VALUE=DATE-TIME:20130131T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2739@cern.ch
DESCRIPTION:I shall report on ongoing joint work with Eyal Markman on gene
ralized deformations of K3 surfaces. Any K3 surface $X$ (for example\, a s
mooth\nquartic surface in projective space) varies in a 20-dimensional fam
ily. On\nthe other hand\, the Hilbert scheme $M$ which parametrizes subset
s (subchemes) of $n$ points on $X$ is known to deform in a 21-dimensional\
nfamily. This means that the general deformation of M is not the Hilbert s
cheme of any K3. How to describe this extra parameter worth of deformation
s? Our work suggests that they arise from certain ``non-commutative'' defo
rmations of $X$.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py
?confId=2739
LOCATION:Colaba Campus AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2739
END:VEVENT
BEGIN:VEVENT
SUMMARY:p-adic triple product L-functions and diagonal cycles on Kuga-Sato
varieties
DTSTART;VALUE=DATE-TIME:20130204T060000Z
DTEND;VALUE=DATE-TIME:20130204T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2750@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
2750
LOCATION:Colaba Campus A-369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2750
END:VEVENT
BEGIN:VEVENT
SUMMARY:An introduction to Arthur's local trace formula
DTSTART;VALUE=DATE-TIME:20130417T060000Z
DTEND;VALUE=DATE-TIME:20130417T073000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2922@cern.ch
DESCRIPTION:ABSTRACT: \nRaphael Beuzart-Plessis\, who is visiting the inst
itute\, will\nbe discussing his recent work on the local Gross-Prasad conj
ecture for unitary groups\, which he has proved at least in the tempered c
ase. His proof was inspired by Waldspurger's work on the Gross-Prasad conj
ecture for orthogonal groups\, which in turn was motivated by Arthur's wor
k on the local trace formula.\n\nAs preparation of sorts for his talk\, I
would like to give a very brief introduction to Arthur's local trace formu
la. If possible and if time permits I will try to mention a few analogies
with some of the constructs found in the works of Waldspurger and Beuzart-
Plessis.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
2922
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2922
END:VEVENT
BEGIN:VEVENT
SUMMARY:Local Theta Lift of Whittaker Models associated to Nilpotent Orbit
s
DTSTART;VALUE=DATE-TIME:20130417T103000Z
DTEND;VALUE=DATE-TIME:20130417T120000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2924@cern.ch
DESCRIPTION:ABSTRACT:\nLet $(G\,\\tilde{G})$ be a dual pair in the stable
range\, with $G$ being the\nsmaller member. Given a nilpotent orbit $\\mat
hcal(O)\\subset\n\\mathfrak{g}=Lie(G)$\, we can associate to it a nilpoten
t orbit\n$\\Theta(\\mathcal{O})\\subset \\tilde{\\mathfrak{g}} = Lie(\\til
de{G})$. Let\n$(\\pi\,V)$ be an irreducible representation of $G$. In this
talk we explore\nthe relationship between $Wh_{\\mathcal{O}}(\\pi)$\, the
space of Whittaker\nmodels of $(\\pi\,V)$ associated to $\\mathcal{O}$ an
d\n$Wh_{\\Theta(\\mathcal{O})}(\\Theta(\\pi))$\, where $\\Theta(\\pi)$ is
the "big"\ntheta-lift of $\\pi$.\n\nThe talk will be aimed at non-experts.
In particular\, some time will be\nspent discussing what the nilpotent or
bits in classical groups are\, and\nhow they "theta lift" to other classic
al groups.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confI
d=2924
LOCATION:Colaba Campus AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2924
END:VEVENT
BEGIN:VEVENT
SUMMARY:The local Gan-Gross-Prasad for tempered representations of unitary
groups (1/2)
DTSTART;VALUE=DATE-TIME:20130422T103000Z
DTEND;VALUE=DATE-TIME:20130422T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2927@cern.ch
DESCRIPTION:ABSTRACT: \nLet $E/F$ be a quadratic extension of $p$-adic fie
lds. Let $W\\subset V$ be\na pair of Hermitian spaces whose dimensions hav
e different parities and\n$H=U(W)\\subset G=U(V)$ the associated unitary g
roups. Then Gan\, Gross and\nPrasad have defined a multiplicity $m(\\pi\,\
\sigma)$ for all smooth\nirreducible representations $\\pi$ and $\\sigma$
of $G(F)$ and $H(F)$\nrespectively. If $dim(W)=dim(V)-1$\, it is just the
dimension of\n$Hom_H(\\pi\,\\sigma)$. This multiplicity is always less tha
n 1 and the\nGan-Gross-Prasad conjecture predicts for which pairs of repre
sentations we\nget the multiplicity one. Their predictions are based on th
e conjectural\nLanglands correspondence. In four recent papers\, Waldspurg
er and\nMoeglin-Waldspurger proved the analogue of the conjecture for spec
ial\northogonal groups. In this serie of two lectures\, I will try to expl
ain a\nsimilar proof in the case of unitary groups. It is based on two par
allels\nintegral formulas: one for the multiplicity and one for certain\n$
\\epsilon$-factors. The first lecture will be more elementary and aims to\
ngive an overview of the proof\, in the second lecture I will try to go mo
re\ndeeply into the details.\n\nhttps://indico.tifr.res.in/indico/conferen
ceDisplay.py?confId=2927
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2927
END:VEVENT
BEGIN:VEVENT
SUMMARY:The local Gan-Gross-Prasad for tempered representations of unitary
groups (2/2)
DTSTART;VALUE=DATE-TIME:20130423T103000Z
DTEND;VALUE=DATE-TIME:20130423T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-2928@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
2928
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=2928
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bifunctors and cohomological finite generation
DTSTART;VALUE=DATE-TIME:20130613T090000Z
DTEND;VALUE=DATE-TIME:20130613T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3022@cern.ch
DESCRIPTION:The category of strict polynomial bifunctors over the field $\
\Bbb F_p$ has\nan interesting homological algebra. There are surprising fo
rmulas that\ndescribe the effect of Frobenius twist on certain Ext groups.
We will\nexplain some of this.\nThe bifunctor theory has been crucial in
the proof of my cohomological\nfinite generation conjecture: If a reductiv
e algebraic group $G$ defined\nover a field $k$ acts algebraically via alg
ebra automorphisms on a finite\ntype commutative $k$-algebra\, then the gr
aded $k$-algebra $H^*(G\,A)$ is\nfinitely generated.\n\nhttps://indico.tif
r.res.in/indico/conferenceDisplay.py?confId=3022
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3022
END:VEVENT
BEGIN:VEVENT
SUMMARY:Comparison of cohomology operations in motivic and etale cohomolog
y
DTSTART;VALUE=DATE-TIME:20130709T103000Z
DTEND;VALUE=DATE-TIME:20130709T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3067@cern.ch
DESCRIPTION:ABSTRACT:\nThere are certain other operations\, distinct from
the cohomology\noperations introduced by Voevodsky in motivic (and etale)
cohomology with\nfinite coefficients. These behave differently with respe
ct to weights and\nare often called classical or simplicial operations. Th
e talk will discuss\nthe precise relationship between these operations and
the motivic\noperations of Voevodsky. We will also look briefly at the so
urce of the\nclassical operations\, which is a certain coherently homotopy
commutative\nand associative ring structure on the motivic complex.\nThis
is largely joint work with Patrick Brosnan.\n\nhttps://indico.tifr.res.in
/indico/conferenceDisplay.py?confId=3067
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3067
END:VEVENT
BEGIN:VEVENT
SUMMARY:A PRELUDE ON EXCEPTIONAL GROUPS
DTSTART;VALUE=DATE-TIME:20130711T053000Z
DTEND;VALUE=DATE-TIME:20130711T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3077@cern.ch
DESCRIPTION:The lecture will cover some preliminaries necessary to\nfollow
my lectures (and partly also the lectures by\nStepanov and Luzgarev) in t
he framework of the \nATM Workshop on Classical and Non-stable Algebraic K
-Theory. \nI plan to recall realisations of exceptional\nroot systems\, re
lations among elementary generators\,\nspecifically coefficients in the Ch
evalley commutator\nformula\, connections with non-associative algebras\,\
nand the like.\nThis elementary lecture is in no way a summary of my\nlect
ures next week\, it is rather a gentle introduction\naddressed to those wh
o are familiar with the classical\ngroups\, but feel less at home when it
comes to the\nexceptional ones.\n\nhttps://indico.tifr.res.in/indico/confe
renceDisplay.py?confId=3077
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3077
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hyperbolic surfaces with small eigenvalues.
DTSTART;VALUE=DATE-TIME:20130913T103000Z
DTEND;VALUE=DATE-TIME:20130913T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3190@cern.ch
DESCRIPTION:We shall talk about eigenvalues of the Laplace operator on\nhy
perbolic surfaces. The main focus of the talk would be on 'small\neigenval
ues' i.e. eigenvalues in the interval (0\, 1/4]. We shall recall a\nmethod
\, due to P. Buser\, to show that surfaces with small eigenvalues do\nexis
t. If time permits\, we shall discuss the result of Otal-Rosas on upper\nb
ound on the number of such eigenvalues depending on the topology of the\ns
urface.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3
190
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3190
END:VEVENT
BEGIN:VEVENT
SUMMARY:Large values of cusp forms on GL(n)
DTSTART;VALUE=DATE-TIME:20131029T053000Z
DTEND;VALUE=DATE-TIME:20131029T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3274@cern.ch
DESCRIPTION:ABSTRACT:\n\nThe study of sup norms of eigenfunctions of the L
aplacian on compact\nmanifolds has a long history\, the first results dati
ng back to the\n60's and the work of Hormander. When the compact manifold
is a\nnegatively curved arithmetic locally symmetric space\, sup norms of\
neigenfunctions have attracted the attention of number theorists\, not\nle
ast for their relation to L-functions. We shall be interested in the\nsize
of cusp forms on certain non-compact spaces\, namely\, congruence\nquotie
nts of SL(n\,R)/SO(n). These eigenfunctions oscillate on a\nsizable bulk o
f the space and decay rapidly in the cusps. In\ntransitioning between thes
e two regimes\, the oscillation slows and the\nform gets large. When n=2\,
Iwaniec and Sarnak quantified this behavior\nfor Maass cusp forms\, showi
ng\, in particular\, that their sup norm\ngrows as a power of the eigenval
ue. In work with N. Templier\,\nwe investigate the size of cusp forms in t
he transition range in\nhigher rank. Among other results\, we obtain lower
bounds on the sup\nnorms of surprising strength for general n.\n\nhttps:/
/indico.tifr.res.in/indico/conferenceDisplay.py?confId=3274
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3274
END:VEVENT
BEGIN:VEVENT
SUMMARY:Affine Hecke Algebras and Representations of $p$-adic groups
DTSTART;VALUE=DATE-TIME:20131213T103000Z
DTEND;VALUE=DATE-TIME:20131213T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3344@cern.ch
DESCRIPTION:This will be a basic talk where I introduce Hecke Algebras (Iw
ahori-Hecke\nAlgebras and more general Hecke algebras with parameters) and
its\nrelation to the representation theory of $p$-adic groups.\n\nhttps:/
/indico.tifr.res.in/indico/conferenceDisplay.py?confId=3344
LOCATION:Colaba Campus lecture room AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3344
END:VEVENT
BEGIN:VEVENT
SUMMARY:Affine Hecke Algebras and Representations of p-adic groups II
DTSTART;VALUE=DATE-TIME:20131224T103000Z
DTEND;VALUE=DATE-TIME:20131224T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3363@cern.ch
DESCRIPTION:We recall how to associate to a Bernstein component in the cat
egory of smooth representations of a p-adic group an affine Hecke algebra\
, give a few details about the parameters involved\, discuss how to recove
r tempered and discrete series representations\, and say a few words on ex
pected applications to the Langlands correspondence and unitarity questio
ns.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3363
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3363
END:VEVENT
BEGIN:VEVENT
SUMMARY:Introduction to Topological Quantum Field Theories.
DTSTART;VALUE=DATE-TIME:20140310T060000Z
DTEND;VALUE=DATE-TIME:20140310T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3524@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
3524
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3524
END:VEVENT
BEGIN:VEVENT
SUMMARY:Diagrammatic calculus of $sl_n $ and quantum groups.
DTSTART;VALUE=DATE-TIME:20140311T110000Z
DTEND;VALUE=DATE-TIME:20140311T120000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3525@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
3525
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3525
END:VEVENT
BEGIN:VEVENT
SUMMARY:``Knot theory and the Jones polynomial".
DTSTART;VALUE=DATE-TIME:20140312T053000Z
DTEND;VALUE=DATE-TIME:20140312T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3527@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
3527
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3527
END:VEVENT
BEGIN:VEVENT
SUMMARY:Introduction to deformation quantization.
DTSTART;VALUE=DATE-TIME:20140314T103000Z
DTEND;VALUE=DATE-TIME:20140314T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3526@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
3526
LOCATION:Colaba Campus ag-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3526
END:VEVENT
BEGIN:VEVENT
SUMMARY: Mayer's transfer operator approach to Selberg's zeta function and
the congruence properties of the induced \\break representations of $PSL(
2\, \\ZZ)$
DTSTART;VALUE=DATE-TIME:20140320T060000Z
DTEND;VALUE=DATE-TIME:20140320T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3538@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
3538
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3538
END:VEVENT
BEGIN:VEVENT
SUMMARY: `An introduction to topological quantum field theories and some o
f their ramifications'.
DTSTART;VALUE=DATE-TIME:20140331T053000Z
DTEND;VALUE=DATE-TIME:20140331T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3572@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
3572
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3572
END:VEVENT
BEGIN:VEVENT
SUMMARY: `An introduction to topological quantum field theories and some o
f their ramifications'.
DTSTART;VALUE=DATE-TIME:20140401T093000Z
DTEND;VALUE=DATE-TIME:20140401T110000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3573@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
3573
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3573
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Langrangian webs in kaehlerian manifolds and the (ex) Fundamental
conjecture of Gindikin-Piteccii Shapiro-Vinberg.'
DTSTART;VALUE=DATE-TIME:20140415T053000Z
DTEND;VALUE=DATE-TIME:20140415T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3594@cern.ch
DESCRIPTION:By 1968 Gindikin\, P. Shapiro and E.B. Vinberg stated the\ncon
jecture that a homogeneous Kaehlerian manifold is the total space\nof an a
nalytical fibration over a bounded domain whose fibers are\nproducts of si
mply connected homogeneous Kaehlerian manifolds and\ncompact homogenous Ka
ehlerian manifolds.\\\\\nThis conjecture has become a Theorem proved by J.
Dorfmeister. The\nproof is base on the notion of j-algebra which had been
initiated by\nJean-Louis Koszul. The aim of my talk is to use the lineari
zation of\nsome lagrangian webs in order to reduce to conjecture in Rieman
n\nsurfaces and then to proceed by induction.\n\nhttps://indico.tifr.res.i
n/indico/conferenceDisplay.py?confId=3594
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3594
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mixing\, Counting and Equidistribution on the hyperbolic plane
DTSTART;VALUE=DATE-TIME:20140416T090000Z
DTEND;VALUE=DATE-TIME:20140416T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3601@cern.ch
DESCRIPTION:In this talk we will see the interconnection between counting\
npoint in the orbits of $SL(2\, Z)$ on the hyperbolic plane with the mixin
g and equidistribution for the action of $SL(2\, R)$ on the unit tangent
bundle of Modular Surface\, using the arguments which can be applied to m
ore general settings.\n\nhttps://indico.tifr.res.in/indico/conferenceDispl
ay.py?confId=3601
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3601
END:VEVENT
BEGIN:VEVENT
SUMMARY:Generalized Riesz Products
DTSTART;VALUE=DATE-TIME:20140425T090000Z
DTEND;VALUE=DATE-TIME:20140425T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3642@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
3642
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3642
END:VEVENT
BEGIN:VEVENT
SUMMARY:`On conjectures of Woods and Minkowski-I'
DTSTART;VALUE=DATE-TIME:20140430T060000Z
DTEND;VALUE=DATE-TIME:20140430T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3651@cern.ch
DESCRIPTION:We will introduce Minkowski's Conjecture on the product of n\n
non-homogeneous linear forms and the related conjecture of Woods on the\np
ositive definite quadratic forms. History of these conjectures and\nrelate
d results will be given.\n\nhttps://indico.tifr.res.in/indico/conferenceDi
splay.py?confId=3651
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3651
END:VEVENT
BEGIN:VEVENT
SUMMARY:`On conjectures of Woods and Minkowski-II'
DTSTART;VALUE=DATE-TIME:20140430T090000Z
DTEND;VALUE=DATE-TIME:20140430T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3652@cern.ch
DESCRIPTION:Here the method of proof of Woods Conjecture will be explained
.\nWe will also discuss estimates on Woods' Conjecture and hence on\nMinko
wski's Conjecture for small values of $n$.\n\nhttps://indico.tifr.res.in/i
ndico/conferenceDisplay.py?confId=3652
LOCATION:Colaba Campus AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3652
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Sets with indomitable structure'
DTSTART;VALUE=DATE-TIME:20140507T103000Z
DTEND;VALUE=DATE-TIME:20140507T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3665@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
3665
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3665
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tian-Todorov theorem for varieties with potentials
DTSTART;VALUE=DATE-TIME:20140512T103000Z
DTEND;VALUE=DATE-TIME:20140512T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3676@cern.ch
DESCRIPTION: I will report on a recent joint work with L. Katzarkov and\n
M. Kontsevich on the deformation theory of varieties equipped with\nholomo
rphic functions. I will discuss various generalizations of the\nunobstruct
edness\ntheorem for deformations of compact Calabi-Yau manifolds. In\npart
icular I will explain a Tian-Todorov theorem for the deformations\nof La
ndau-Ginzburg models and will explain the new Hodge theoretic\nstatements
needed in the proof. I will also discuss the various\ndefinitions of Hodge
numbers for non-commutative\nHodge structures of Landau-Ginzburg type and
the role they play in\nmirror symmetry.\n\nhttps://indico.tifr.res.in/ind
ico/conferenceDisplay.py?confId=3676
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3676
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tian-Todorov theorem for varieties with potentials
DTSTART;VALUE=DATE-TIME:20140516T103000Z
DTEND;VALUE=DATE-TIME:20140516T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3678@cern.ch
DESCRIPTION:I will report on a recent joint work with L. Katzarkov and\nM.
Kontsevich on the deformation theory of varieties equipped with\nholomorp
hic functions. I will discuss various generalizations of the\nunobstructed
ness\ntheorem for deformations of compact Calabi-Yau manifolds. In\npartic
ular I will explain a Tian-Todorov theorem for the deformations\nof Land
au-Ginzburg models and will explain the new Hodge theoretic\nstatements ne
eded in the proof. I will also discuss the various\ndefinitions of Hodge n
umbers for non-commutative\nHodge structures of Landau-Ginzburg type and t
he role they play in\nmirror symmetry.\n\nhttps://indico.tifr.res.in/indic
o/conferenceDisplay.py?confId=3678
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3678
END:VEVENT
BEGIN:VEVENT
SUMMARY:Explorations in Quantum Information
DTSTART;VALUE=DATE-TIME:20140620T090000Z
DTEND;VALUE=DATE-TIME:20140620T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3739@cern.ch
DESCRIPTION: The field of quantum information embraces computing\, crypto
graphy or key\ndistribution\, and teleportation. All involve quantum corre
lations between\ntwo or more two-level quantum systems termed qubits. A qu
bit has\, in some\nrespects\, much more power in speed and memory than a c
lassical bit\, so that\nthere is excitement over the possibility of using
them for varied\napplications. I will discuss some of the basic principles
of quantum physics\nthat underlie all this\, and how to deal with some of
these correlations such\nas ``entanglement'' and ``discord''.\n\nhttps://
indico.tifr.res.in/indico/conferenceDisplay.py?confId=3739
LOCATION:Colaba Campus AG-66
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3739
END:VEVENT
BEGIN:VEVENT
SUMMARY: Fewest Pieces of Cake\, and Isoperimetric Square
DTSTART;VALUE=DATE-TIME:20140622T053000Z
DTEND;VALUE=DATE-TIME:20140622T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3740@cern.ch
DESCRIPTION:Suppose that $s$ students want to equally share $c$ cakes. Wha
t is the smallest\nnumber of cake pieces\, $p(c\, s)$\, needed to achieve
this fair distribution? We\nwill derive a formula for $p(c\, s)$ and descr
ibe two different distribution\nschemes that achieve this. One of them is
associated with a square tiling of\na $c\\times s$ rectangle $R$\, and we
shall see that this square tiling is\n``isoperimetric'' in the sense that
it has smallest ``perimeter'' among all\nsquare tilings of $R$. I will des
cribe a generalized version of this problem\nthat is still open\n\nhttps:/
/indico.tifr.res.in/indico/conferenceDisplay.py?confId=3740
LOCATION:Colaba Campus AG-66
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3740
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arithmetic Jet Spaces and Differential Modular Forms
DTSTART;VALUE=DATE-TIME:20140721T060000Z
DTEND;VALUE=DATE-TIME:20140721T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3788@cern.ch
DESCRIPTION:We will introduce the theory of arithmetic jet spaces which ar
e arithmetic analogues of differential algebras and talk about various app
lications\, especially in the case of modular forms.\n\nhttps://indico.t
ifr.res.in/indico/conferenceDisplay.py?confId=3788
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3788
END:VEVENT
BEGIN:VEVENT
SUMMARY:Some analytic and computational aspects of Chern-Weil forms
DTSTART;VALUE=DATE-TIME:20140725T053000Z
DTEND;VALUE=DATE-TIME:20140725T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3798@cern.ch
DESCRIPTION:Abstract:\n--------\nA generalised Monge-Amp\\`ere equation ar
ising out of a natural question from\nChern-Weil theory shall be presented
. The difficulties involved with the\nanalysis shall be discussed along wi
th a connection to K\\" ahler geometry.\nOn the computational side of Cher
n-Weil theory\, a computation of Chern forms\nfor certain trivial bundles
with non-diagonal metrics shall be shown along\nwith an application or two
.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3798
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3798
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rank-level duality and Conformal Blocks divisors on ${\\bf \\bar{M
}_{0\,n}}$
DTSTART;VALUE=DATE-TIME:20140728T103000Z
DTEND;VALUE=DATE-TIME:20140728T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3802@cern.ch
DESCRIPTION:Conformal blocks are vector bundles on moduli\nspace of curves
with marked points that arise naturally\nin rational conformal field theo
ry.?? Recent work of N.\nFakhruddin shows that conformal blocks give rise
to a\nvery interesting family of numerically effective divisors\nand hence
relate to questions on nef cones of moduli\nspaces of genus zero curves w
ith marked points.\nRank-level duality connects a conformal block associat
ed\nto one Lie algebra to a conformal block for a different\nLie algebra.
In this talk we discuss relations among\nconformal blocks divisors that ar
ise from rank-level\nduality.\n\nhttps://indico.tifr.res.in/indico/confere
nceDisplay.py?confId=3802
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3802
END:VEVENT
BEGIN:VEVENT
SUMMARY: Randomness\, Gaps\, and Homogeneous Dynamics
DTSTART;VALUE=DATE-TIME:20140730T053000Z
DTEND;VALUE=DATE-TIME:20140730T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3803@cern.ch
DESCRIPTION:We explore notions of randomness using gap distributions and\n
pair correlations for various sequences of number-theoretic interest.\nOur
tools are mainly dynamics of Lie groups on homogeneous spaces.\n\nhttps:/
/indico.tifr.res.in/indico/conferenceDisplay.py?confId=3803
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3803
END:VEVENT
BEGIN:VEVENT
SUMMARY:Some rigidity theorems for simply connected negatively curved mani
folds.
DTSTART;VALUE=DATE-TIME:20140730T090000Z
DTEND;VALUE=DATE-TIME:20140730T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3804@cern.ch
DESCRIPTION:The boundary at infinity has proved to be a very useful tool i
n\nthe study of rigidity properties of negatively curved spaces. In partic
ular\nfor CAT(-1) spaces there is a canonical cross-ratio function defined
on\nquadruples of points on the boundary\, and there are notions of Moebi
us and\nconformal mappings between boundaries of CAT(-1) spaces. A motivat
ing open\nquestion is whether any Moebius map between two boundaries exten
ds to an\nisometry inside. This is proved by Bourdon to be true if the dom
ain is the\nboundary of a rank one symmetric space of noncompact type. For
a conformal\nmap f between boundaries of spaces X\,Y\, we define a functi
on S(f) on the\nspace of geodesics of X\, called the integrated Schwarzian
of f\, which\nmeasures the deviation of f from being Moebius. Like the cl
assical\nSchwarzian derivative\, the integrated Schwarzian satisfies a coc
ycle\nidentity\, and vanishes if and only if f is Moebius. We use the inte
grated\nSchwarzian to study simply connected negatively curved manifolds.
We show\nthat a 1-parameter family of compactly supported metric deformati
ons is an\nisometric deformation if all the boundary maps in the family ar
e Moebius. We\nalso prove\, under certain hypotheses\, that any small enou
gh compactly supported metric deformation is isometric if the boundary map
is Moebius.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?con
fId=3804
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3804
END:VEVENT
BEGIN:VEVENT
SUMMARY:The homology of $GL(n)$
DTSTART;VALUE=DATE-TIME:20140804T103000Z
DTEND;VALUE=DATE-TIME:20140804T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3819@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
3819
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3819
END:VEVENT
BEGIN:VEVENT
SUMMARY:Strongly positive representations of odd $GSpin$ groups
DTSTART;VALUE=DATE-TIME:20140805T103000Z
DTEND;VALUE=DATE-TIME:20140805T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3822@cern.ch
DESCRIPTION:The classfication of discrete series representations of connec
ted reductive groups $G$ over a non-Archimedean local field $F$ of charact
eristic zero is an imPortant step in establishing local Langlands corres
pondence. Briefly\, the local Langlands correspondence asserts that there
exists a 'natural'\nbijection between two different sets of objects: an Ar
ithmetic (Galois or Weil-Deligne) side and an analytic (representation the
oretic) side.\nOn the analytic side\, the objects are irreducible admissib
le\nrepresentations of connected reductive group over a local field. To st
udy admissible representations\, the following filtration of admissible\nr
epresentation according to growth properties of matrix coefficients is use
ful: (1) supercuspidal $\\subseteq$ discrete series $\\subseteq$ tempered
$\\subseteq$ admissible: One of the strategy to study properties or theore
ms of admissible representations is first to prove those in the case of su
percuspidal representations. If it works\, we generalize those proofs to t
he case of discrete series\, tempered and admissible representations follo
wing the filtration (1). The natural question is how we generalize the the
orems in the case of previous class to the case of next class. The last st
ep (from tempered representations to admissible representations) is well c
onstructed in general and is called 'Langlands classification'. The second
\nstep (from discrete series representations to tempered representations)
is called R-groups which is studied by Goldberg and others in the case o
f classical groups. In this talk\, I will explain the first step (from sup
ercuspidal representations to discrete series representations) which is ca
lled 'classification of discrete series representations' in the case of $G
Spin$ groups. More precisely\, we consider one more important class betwee
n supercuspidal representations and discrete series which is called strong
ly positive discrete series representations. I will explain the classifica
tion of strongly positive discrete series of odd $GSpin$ groups over $F$ a
nd describe the general discrete series representations of odd $GSpin$ gro
ups over $F$ using the classification of strongly positive representations
. One of the applications of this classification results is to show the eq
uality of $L$-functions from Langlands-Shahidi method and Artin $L$-functi
ons through local Langlands correspondence. Furthermore\, I will explain o
ne of the applications of the equality of $L$-functions\, which is so-call
ed the generic Arthur packet conjecture.\n\n\nhttps://indico.tifr.res.in/i
ndico/conferenceDisplay.py?confId=3822
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3822
END:VEVENT
BEGIN:VEVENT
SUMMARY: Lifting Galois representations
DTSTART;VALUE=DATE-TIME:20140903T060000Z
DTEND;VALUE=DATE-TIME:20140903T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3873@cern.ch
DESCRIPTION:I will give a few talks to explain R. Ramakrishna's method of
lifting two dimensional\, odd\, irreducible mod $p$ representations of t
he absolute Galois group of the rationals to geometric characteristic 0 re
presentations. In symbols\, given $\\bar{\\rho}:G_\\Q \\rightarrow GL_2(\\
Z/p\\Z)$ that is odd (determinant of image of complex conjugation is -1) a
nd irreducible\, we want to construct representations $\\rho:G_\\Q \\right
arrow GL_2(Z_p)$ which reduce mod $p$ to $\\bar{\\rho}$\, and such that $\
\bar{\\rho}$ is ``geometric'' (ramified at finitely many primes and de Rha
m at $p$). The method generalizes to higher dimensional representations
as well. It relies on facts in Galois cohomology which I will state with
out proof (Poitou-Tate duality\, Euler-Poincare formula etc). This als
o has applications to proving modularity lifting theorems by a method whic
h is different from the one of Wiles and Taylor.\n\nhttps://indico.tifr.re
s.in/indico/conferenceDisplay.py?confId=3873
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3873
END:VEVENT
BEGIN:VEVENT
SUMMARY: Finiteness results in Diophantine equations
DTSTART;VALUE=DATE-TIME:20140905T060000Z
DTEND;VALUE=DATE-TIME:20140905T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3878@cern.ch
DESCRIPTION:Techniques from Diophantine approximation have many applicatio
ns\nto Diophantine equations. For instance\, the Thue-Siegel-Roth theorem
can be used to prove that the so-called Thue equations have only finitely
many solutions. However\, the proof does not yield a bound on the size of
solutions and is therefore ineffective. In this talk\, we will discuss som
e applications of Roth's theorem and its higher-dimensional generalization
to Diophantine equations.\n\nhttps://indico.tifr.res.in/indico/conference
Display.py?confId=3878
LOCATION:Colaba Campus AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3878
END:VEVENT
BEGIN:VEVENT
SUMMARY: `A $GL(n)$ Converse Theorem'
DTSTART;VALUE=DATE-TIME:20140925T060000Z
DTEND;VALUE=DATE-TIME:20140925T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3912@cern.ch
DESCRIPTION:Converse theorems provide a way of characterizing automorphic
forms on $GL(n)$ using the analytic properties of certain ``twisted'' L-fu
nctions. I will talk on my recent work with Andrew Booker where\nwe comple
te the work of Cogdell and Piatetski-Shapiro to prove a converse theorem f
or automorphic representations of $GL(n)$ using analytic input from twists
by unramified representations of $GL(n-1)$.\n\nhttps://indico.tifr.res.in
/indico/conferenceDisplay.py?confId=3912
LOCATION: Maths. Seminar Room (A-369)
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3912
END:VEVENT
BEGIN:VEVENT
SUMMARY: `Introduction to infinite ergodic theory'
DTSTART;VALUE=DATE-TIME:20140926T060000Z
DTEND;VALUE=DATE-TIME:20140926T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3911@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
3911
LOCATION:Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3911
END:VEVENT
BEGIN:VEVENT
SUMMARY: Infinite Ergodic Theory
DTSTART;VALUE=DATE-TIME:20141017T060000Z
DTEND;VALUE=DATE-TIME:20141017T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3943@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
3943
LOCATION:Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3943
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Vanishing of the higher direct images of the structure sheaf'
DTSTART;VALUE=DATE-TIME:20141021T023000Z
DTEND;VALUE=DATE-TIME:20141021T033000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3973@cern.ch
DESCRIPTION:Let $f: X \\dashrightarrow Y$ be a birational and projective\n
morphism between excellent and regular schemes. Then the higher direct ima
ges of the structure sheaf of $X$ under $f\, R^i f_* O_X$\, vanish for all
positive integers $i$. In case $X$ and $Y$ are smooth schemes over a fiel
d of characteristic zero\, this vanishing was proved by Hironaka as a coro
llary of his proof of the existence of resolutions of singularities. In ca
se $X$ and Y are smooth over a field of positive characteristic the statem
ent was proved by Chatzistamatiou-R\\"ulling in 2011. In this talk I wil
l explain the\nproof in the general case. This is joint work with Andre Ch
atzistamatiou.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?c
onfId=3973
LOCATION:Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3973
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Crystalline Cohomology'
DTSTART;VALUE=DATE-TIME:20141022T053000Z
DTEND;VALUE=DATE-TIME:20141022T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3972@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
3972
LOCATION:Mumbai Maths. Seminar Room (AG-369)
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3972
END:VEVENT
BEGIN:VEVENT
SUMMARY:Motivic multiple zeta values
DTSTART;VALUE=DATE-TIME:20141103T103000Z
DTEND;VALUE=DATE-TIME:20141103T120000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-3992@cern.ch
DESCRIPTION:The famous Riemann zeta function is one of the most studied ob
jects in mathematics. But it still hides many mysteries and enigmas such a
s the Riemann hypothesis. The values of this function at positive integers
is another example of these mysteries. Euler already knew that the values
of the zeta function at even integers can be expressed in terms of powers
of $\\pi$ and rational numbers.\n\nHowever\, nobody has been able to expr
ess the values of the zeta function at odd integers in terms of known numb
ers like $\\pi$. In fact\, it is expected\, that this should not be possib
le. More precisely we \\emph{expect that the numbers $\\pi$\, $\\zeta(3)$\
, $\\zeta(5)$\, $\\zeta(7)$\, etc.\, are algebraically independent over
$\\mathbb{Q}$}.\n\nAs it is often done in mathematics\, in order to simpli
fy a problem\, we turn to a generalization of it. In this case we introduc
e multiple zeta values (MZVs for short) that have the advantage that the p
roduct of two MZVs is a linear combination of MZVs. Therefore we have redu
ced the problem of algebraic dependence between zeta values to a problem o
f $\\mathbb{Q}$-linear dependence between MZVs. MZVs have deep properties\
, and have appeared in recent years in connection with many topics of su
rprising diversity\, including knot invariants\, Galois representations\,
periods of mixed Tate motives\, and calculations of integrals associated t
o Feynman diagrams in perturbative quantum field theory (pQFT).\n\nThe MZV
are classified by its weight. We denote by $V_{n}$ the\n$\\mathbb{Q}$-vec
tor space generated by the MZVs of weight $n$\, with the convention that $
1$ is a multiple zeta value of weight zero\, and we write $V$ for the subs
pace of $\\mathbb{R}$ generated by all MZVs. Zagier has conjectured that t
here are no relations among MZVs of different weights\, and that the dimen
sions $\\dim V_{n}$ are given by the numbers $d_{n}$ satisfying the recu
rrence relation $d_{0}=1$\, $d_{1}=0$\, $d_{2}=1$ and $d_{n}=d_{n-2}+d_{n-
3}$.\n\nThanks to work of Goncharov Deligne and Terasoma\, we know half of
this. conjencture. Namely that $\\dim V_n\\le d_n$. Surprisingly\, th
e only known method of proof of this result uses the theory of motives
. The aim of this short course is to give an outline of the connection bet
ween MZV\, periods and motives\, explaining the basic ideas of such proof.
\n\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3992
LOCATION:Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=3992
END:VEVENT
BEGIN:VEVENT
SUMMARY: Some aspects of Mahler's theory
DTSTART;VALUE=DATE-TIME:20141114T103000Z
DTEND;VALUE=DATE-TIME:20141114T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-4019@cern.ch
DESCRIPTION:The first lecture will be a survey on algebraic independence\n
theory. The subsequent lectures will concentrate on Mahler's\nmethod.\n\nh
ttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=4019
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=4019
END:VEVENT
BEGIN:VEVENT
SUMMARY: `Riemannian Geometry of the Space of Smooth Planar Loops'
DTSTART;VALUE=DATE-TIME:20141125T043000Z
DTEND;VALUE=DATE-TIME:20141125T053000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-4033@cern.ch
DESCRIPTION:A problem in Computer Vision is how to match or compare shapes
and quantify their differences and similarities. A more general question
is how to carry out a statistical analysis of variations in shapes. For ex
ample\, give a statistical sample of\, say\, images of a brain structure s
uch as the corpus callosum or hippocampus\, what is its average shape and
what is the standard deviation? The root of the difficulty is the fact tha
t shape spaces are not vector spaces\, but infinite dimensional manifolds.
A starting point is to try to compute distances between shapes. This led
to attempts to impose a Riemannian structure on shape manifolds and constr
uct geodesics. Peter Michor and David Mumford developed a general theoreti
cal framework so that the standard tools of Differential Geometry may be a
pplied to various versions of shape-related problems in Computer Vision. I
will describe the framework and discuss our results in three specific\nca
ses of the space of smooth planar loops.\n\nhttps://indico.tifr.res.in/ind
ico/conferenceDisplay.py?confId=4033
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=4033
END:VEVENT
BEGIN:VEVENT
SUMMARY:`On splitting of primes and simple extensions of integrally close
d domains'
DTSTART;VALUE=DATE-TIME:20141127T053000Z
DTEND;VALUE=DATE-TIME:20141127T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-4034@cern.ch
DESCRIPTION:We will discuss an extension of the classical Dedekind's
theorem\nregarding\nsplitting of rational primes in algebraic number fiel
ds as well as of its\nconverse when the base field is a valued field of
arbitrary rank. Let $R$\nbe\nthe valuation ring of a Krull valuation
defined on a field $K$ and $S$ be the integral closure of $R$ in a finite
extension $L$ of $K.$ A set of conditions will be described which are nec
essary as well as sufficient for $S$ to be a simple ring extension of $R
\,$ i.e.\, $S=R[\\theta]$ for some $\\theta.$ The well known theorem o
f Dedekind characterizing those rational primes $p$ which divide the index
of an algebraic number field will be deduced. Some related open problems
will also be mentioned.\n\nhttps://indico.tifr.res.in/indico/conferenceDis
play.py?confId=4034
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=4034
END:VEVENT
BEGIN:VEVENT
SUMMARY:A brief introduction to braided multiplicative unitaries.
DTSTART;VALUE=DATE-TIME:20141128T060000Z
DTEND;VALUE=DATE-TIME:20141128T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-4036@cern.ch
DESCRIPTION:Multiplicative unitaries are one of the fundamental objects to
study\nlocally compact quantum groups. Roughly\, it is a unitary operator
that\nencodes all structures of a locally compact quantum group and its d
ual.\nIn this talk we shall start from a multiplicative unitary of a local
ly\ncompact group\, and motivate the concept of more general objects namel
y\nbraided multiplicative unitaries.\n\nhttps://indico.tifr.res.in/indico/
conferenceDisplay.py?confId=4036
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=4036
END:VEVENT
BEGIN:VEVENT
SUMMARY:Quantum Groups and Crystal bases -an overview
DTSTART;VALUE=DATE-TIME:20141209T060000Z
DTEND;VALUE=DATE-TIME:20141209T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-4068@cern.ch
DESCRIPTION:Quantum groups are $q$-deformations of universal enveloping al
gebras of symmetrizable Kac-Moody Lie algebras. The quantum groups associa
ted with affine Lie algebras are called quantum\naffine algebras. In 1990\
, Lusztig (geometric viewpoint) and Kashiwara\n(algebraic viewpoint) intro
duced the theory of crystal bases for\nintegrable representations of quant
um groups. Crystal bases provide a nice tool to study the combinatorics of
these representations. In this study explicit realizations of crystal bas
es are useful. To give explicit realizations of\naffine crystals we introd
uced perfect crystals associated with\ncertain level\nzero representations
of quantum affine algebras and realized the\naffine crystals as semi-inf
inite tensor products of perfect\ncrystals. In these lectures we will take
the algebraic approach\nof Kashiwara focusing on some of my recent contr
ibutions in this\nand related directions.\n\nhttps://indico.tifr.res.in/in
dico/conferenceDisplay.py?confId=4068
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=4068
END:VEVENT
BEGIN:VEVENT
SUMMARY:Affine crystals and Perfect Crystals
DTSTART;VALUE=DATE-TIME:20141210T060000Z
DTEND;VALUE=DATE-TIME:20141210T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-4069@cern.ch
DESCRIPTION:Quantum groups are $q$-deformations of universal enveloping al
gebras of symmetrizable Kac-Moody Lie algebras. The quantum groups associa
ted with affine Lie algebras are called quantum\naffine algebras. In 1990\
, Lusztig (geometric viewpoint) and Kashiwara\n(algebraic viewpoint) intro
duced the theory of crystal bases for\nintegrable representations of quant
um groups. Crystal bases provide a nice tool to study the combinatorics of
these representations. In this study explicit realizations of crystal bas
es are useful. To give explicit realizations of affine crystals we introdu
ced perfect crystals associated with certain level zero representations of
quantum affine algebras and realized the affine crystals as semi-infinit
e tensor products of perfect crystals. In these lectures we will take the
algebraic approach of Kashiwara focusing on some of my recent contributio
ns in this and related directions.\n\nhttps://indico.tifr.res.in/indico/co
nferenceDisplay.py?confId=4069
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=4069
END:VEVENT
BEGIN:VEVENT
SUMMARY:$U_q(A_n^{(1)})$ geometric crystals and its ultadiscretization
DTSTART;VALUE=DATE-TIME:20141211T060000Z
DTEND;VALUE=DATE-TIME:20141211T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-4070@cern.ch
DESCRIPTION:Quantum groups are $q$-deformations of universal enveloping al
gebras of symmetrizable Kac-Moody Lie algebras. The quantum groups associa
ted with affine Lie algebras are called quantum\naffine algebras. In 1990\
, Lusztig (geometric viewpoint) and Kashiwara\n(algebraic viewpoint) intro
duced the theory of crystal bases for\nintegrable representations of quant
um groups. Crystal bases provide a nice tool to study the combinatorics of
these representations. In this study explicit realizations of crystal bas
es are useful. To give explicit realizations of affine crystals we introdu
ced perfect crystals associated with certain level zero representations of
quantum affine algebras and realized the affine crystals as semi-infinit
e tensor products of perfect crystals. In these lectures we will take the
algebraic approach of Kashiwara focusing on some of my recent contribut
ions in this and related directions.\n\nhttps://indico.tifr.res.in/indico/
conferenceDisplay.py?confId=4070
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=4070
END:VEVENT
BEGIN:VEVENT
SUMMARY:Crystal bases and Imaginary Verma module $U_q(\\widehat{sl}(2))$.
DTSTART;VALUE=DATE-TIME:20141212T060000Z
DTEND;VALUE=DATE-TIME:20141212T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-4071@cern.ch
DESCRIPTION:Quantum groups are $q$-deformations of universal enveloping al
gebras of symmetrizable Kac-Moody Lie algebras. The Quantum groups associa
ted with affine Lie algebras are called quantum\naffine algebras. In 1990\
, Lusztig (geometric viewpoint) and Kashiwara\n(algebraic viewpoint) intro
duced the theory of crystal bases for integrable representations of quantu
m groups. Crystal bases provide a nice tool to study the combinatorics of
these representations. In this study explicit realizations of crystal base
s are useful. To give explicit realizations of affine crystals we introduc
ed perfect crystals associated with certain level zero representations of
quantum affine algebras and realized the affine crystals as semi-infinite
tensor products of perfect crystals. In these lectures we will take the
algebraic approach of Kashiwara focusing on some of my recent contri
butions in this and related directions.\n\nhttps://indico.tifr.res.in/indi
co/conferenceDisplay.py?confId=4071
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=4071
END:VEVENT
BEGIN:VEVENT
SUMMARY:On density of self-dual Artin representations
DTSTART;VALUE=DATE-TIME:20150612T103000Z
DTEND;VALUE=DATE-TIME:20150612T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-4404@cern.ch
DESCRIPTION:Self-dual Artin representations should be rare to find. In\npa
rticular\, it is natural to expect that they occur with density $0$. David
\nRohrlich proved results in this direction in dimension $2$. We present a
n\nextension of these results to dimension $3$.\n\nhttps://indico.tifr.res
.in/indico/conferenceDisplay.py?confId=4404
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=4404
END:VEVENT
BEGIN:VEVENT
SUMMARY:Limit Tate-Shafarevich groups (1/2)
DTSTART;VALUE=DATE-TIME:20150706T084500Z
DTEND;VALUE=DATE-TIME:20150706T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-4431@cern.ch
DESCRIPTION:Analyzing elementary relations between $U(p)$ operators and\nP
icard functoriality of the Jacobians of each tower of modular\ncurves of $
p$-power level\, we get fairly exact control of the\nordinary part of the
limit Barsotti-Tate groups and the\n($p$-adically completed) ind-limit Mor
dell-Weil groups with\nrespect to the weight Iwasawa algebra. Computing Ga
lois cohomology\nof these controlled Galois modules\, we obtain good contr
ol of the\n(ordinary part of) limit Selmer groups and limit Tate-Shafarevi
ch groups.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confI
d=4431
LOCATION: AG-69 / AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=4431
END:VEVENT
BEGIN:VEVENT
SUMMARY:Limit Tate-Shafarevich groups (2/2)
DTSTART;VALUE=DATE-TIME:20150713T090000Z
DTEND;VALUE=DATE-TIME:20150713T101500Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-4432@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
4432
LOCATION: AG-69 / AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=4432
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Some results on Thue equations'
DTSTART;VALUE=DATE-TIME:20160406T060000Z
DTEND;VALUE=DATE-TIME:20160406T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-4945@cern.ch
DESCRIPTION:In this talk\, I will present some recent results on the numbe
r of solutions of Thue equations.\n\nhttps://indico.tifr.res.in/indico/con
ferenceDisplay.py?confId=4945
LOCATION:TIFR\, Mumbai Mathematics Seminar Room A-369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=4945
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Equivariant vector bundles and their K-theory on schemes with gro
up actions'
DTSTART;VALUE=DATE-TIME:20160413T060000Z
DTEND;VALUE=DATE-TIME:20160413T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-4964@cern.ch
DESCRIPTION:In this talk we will discuss some results on equivariant\nK-th
eory of schemes with an action of a given group scheme. We will also\nrevi
ew some results on equivariant vector bundles on some affine schemes\nwith
group actions.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?
confId=4964
LOCATION:TIFR\, Mumbai Mathematics Seminar Room A-369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=4964
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Distributional limits of positive\, ergodic stationary processes
& infinite ergodic transformations.'
DTSTART;VALUE=DATE-TIME:20160418T050000Z
DTEND;VALUE=DATE-TIME:20160418T060000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-4986@cern.ch
DESCRIPTION:In infinite ergodic theory\, distributional limits replace\nth
e absolutely normalized pointwise ergodic theorem.\nI'll give a review of
the subject and then show that every random\nvariable on the positive real
s occurs as the\ndistributional limit of some infinite ergodic transformat
ion.\n\nThis is a consequence of the dual result that every random variabl
e on\nthe positive reals occurs as the distributional limit ofthe partial
sums some positive\, ergodic stationary process normalized by a\n1-regula
rly varying normalizing sequence (& the process can be chosen\nover any EP
PT).\n\nJoint work in progress with Benjamin Weiss.\n\nhttps://indico.tifr
.res.in/indico/conferenceDisplay.py?confId=4986
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=4986
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Translational tilings of the plane'
DTSTART;VALUE=DATE-TIME:20160512T210000Z
DTEND;VALUE=DATE-TIME:20160512T220000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-5034@cern.ch
DESCRIPTION:Let $d\\ge 1$\, and let $F$ be finite subset of $\\mathbb{Z}^{
d}$. \nThe set $F$ is called a tile if $\\mathbb{Z}^{d}$ can be expressed
as a countable disjoint union of translates of $F$. In these talks we wil
l focus on the decidability problem for such tilings\, and prove that the
question whether a given finite set $F\\subset \\mathbb{Z}^{2}$ tiles $\\
mathbb{Z}^{2}$ is decidable.\n\nhttps://indico.tifr.res.in/indico/conferen
ceDisplay.py?confId=5034
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5034
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Structure theory of complex semisimple Lie algebras' (1/2)
DTSTART;VALUE=DATE-TIME:20170607T053000Z
DTEND;VALUE=DATE-TIME:20170607T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-5701@cern.ch
DESCRIPTION:The goal of this mini course is to understand the structure of
complex semisimple Lie algebras. In the first lecture\, we will begin wit
h the basic notions and discuss the theory of solvable Lie algebras. In th
e second lecture we will begin the study of complex semisimple Lie algebra
s and discuss the representation theory of sl_2(C) (Professor Dipendra Pra
sad will continue this course with a few more lectures on the structure th
eory of semisimple Lie algebras).\n\nhttps://indico.tifr.res.in/indico/con
ferenceDisplay.py?confId=5701
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5701
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Structure theory of complex semisimple Lie algebras' (2/2)
DTSTART;VALUE=DATE-TIME:20170609T103000Z
DTEND;VALUE=DATE-TIME:20170609T120000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-5702@cern.ch
DESCRIPTION:The goal of this mini course is to understand the structure of
complex semisimple Lie algebras. In the first lecture\, we will begin wit
h the basic notions and discuss the theory of solvable Lie algebras. In th
e second lecture we will begin the study of complex semisimple Lie algebra
s and discuss the representation theory of sl_2(C) (Professor Dipendra Pra
sad will continue this course with a few more lectures on the structure th
eory of semisimple Lie algebras).\n\nhttps://indico.tifr.res.in/indico/con
ferenceDisplay.py?confId=5702
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5702
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Conormal Varieties on the Cominuscule Grassmannian'
DTSTART;VALUE=DATE-TIME:20170614T103000Z
DTEND;VALUE=DATE-TIME:20170614T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-5707@cern.ch
DESCRIPTION:Let G be a reductive group\, LG its loop group\, and P a co-mi
nuscule parabolic subgroup of G. Lakshmibai\, Ravikumar\, and Slofstra ha
ve constructed an embedding \\phi of the cotangent bundle T^*G/P as an ope
n subset of a Schubert variety of the loop group LG. This raises the foll
owing question: When is the conormal variety C_w of a Schubert variety X(w
) in G/P itself a Schubert variety? We classify the 'good' w for which \\p
hi(C_w) is a Schubert varieties. In particular\, the conormal varieties o
f determinantal varieties are given by Schubert conditions.\n\nThis allows
us various consequences: The identification of the ideal sheaf of C_w in
T^*G/P for 'good' w\; The conormal fibre at 0 of the rank k (usual\, symme
tric resp.) determinantal variety is the co-rank k (usual\, symmetric resp
.) determinantal variety\; The conormal varieties and conormal fibres at i
dentity for 'good' w are compatibly Frobenius split in T^*G/P. The Frobeni
us splitting of T^*G/P was first shown by Kumar\, Lauritzen\, and Thomsen.
\n\nJoint work with Lakshmibai.\n\nhttps://indico.tifr.res.in/indico/confe
renceDisplay.py?confId=5707
LOCATION:TIFR\, Mumbai AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5707
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Semi-Abelian Motives'
DTSTART;VALUE=DATE-TIME:20170710T103000Z
DTEND;VALUE=DATE-TIME:20170710T120000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-5741@cern.ch
DESCRIPTION:These objects\, in some form or another\, have been studied t
he\nlast twenty years by Rothstein\, Laumon\, Loeser-Sabbah\, and more re
cently\,\nby Bhatt\, Schnell and Scholze. A formal definition will be give
n\, and\nrealizations\, when the semi-abelian variety is a torus\, will be
\ndiscussed. The talk is based on work in progress with Deepam Patel.\n\n
https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5741
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5741
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Extremal rays and vertices in eigenvalue problems'
DTSTART;VALUE=DATE-TIME:20170718T103000Z
DTEND;VALUE=DATE-TIME:20170718T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-5752@cern.ch
DESCRIPTION:Abstract\n\nThe Hermitian eigenvalue problem asks for the poss
ible\neigenvalues of a sum of Hermitian matrices\, given the eigenvalues o
f the\nsummands. The regular faces (i.e.\, not contained in Weyl chambers
) of the\ncone controlling this problem have been characterized in terms o
f Schubert\ncalculus by the work of several authors.\n\nWe relate the extr
emal rays of the cones above (which are never regular\nfaces) to the geome
try of flag varieties: The extremal rays either arise\nfrom ``modular inte
rsection loci''\, or by ``induction'' from extremal rays of\nsmaller group
s. Explicit formulas are given for both the extremal rays\ncoming from suc
h intersection loci\, and for the induction maps.\n\nA similar description
also holds for the vertices in the multiplicative\neigenvalue problem (wh
ere one wants to characterise the possible\neigenvalues of a product of un
itary matrices\, given the eigenvalues of the\nterms).\n\nhttps://indico.t
ifr.res.in/indico/conferenceDisplay.py?confId=5752
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5752
END:VEVENT
BEGIN:VEVENT
SUMMARY:`On Euler's methods for double zeta values'
DTSTART;VALUE=DATE-TIME:20170721T060000Z
DTEND;VALUE=DATE-TIME:20170721T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-5760@cern.ch
DESCRIPTION:Abstract\nIn 1776\, L. Euler considered three methods to obtai
n formulae on double \nzeta values which he called prima methodus\, secund
a methodus and tertia \nmethodus.\n\nBut his formulae obtained by the last
two methods are not mathematically \nwell-formulated and his proofs also
need a justification.\n\nIn this talk\, we give a rigorous proof and also
clarify that the \nvalidity of his formulae is guaranteed by the extended
double shuffle \nrelations and the generating functions for double zeta va
lues.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=576
0
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5760
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Ergodic Theorems for regenerative sequences'
DTSTART;VALUE=DATE-TIME:20170804T090000Z
DTEND;VALUE=DATE-TIME:20170804T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-5783@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
5783
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5783
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Right-angled Artin groups and their subgroups'
DTSTART;VALUE=DATE-TIME:20170804T053000Z
DTEND;VALUE=DATE-TIME:20170804T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-5784@cern.ch
DESCRIPTION:Abstract\n\nI will survey some classical and some more modern
results in the theory of\nright-angled Artin groups and their subgroups\,
as these have been of\ncentral importance in geometric group theory and hy
perbolic geometry in\nrecent years. I will concentrate on hyperbolic subgr
oups and on\nright-angled Artin subgroups of other right-angled Artin grou
ps\, following\nthe work of Droms\, Servatius\, Wise\, Agol\, Casals-Ruiz\
, Kazachkov\, Kim\,\nClay\, Leininger\, Mangahas\, and others.\n\nhttps://
indico.tifr.res.in/indico/conferenceDisplay.py?confId=5784
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5784
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Variants of equidistribution in arithmetic progressions'
DTSTART;VALUE=DATE-TIME:20170808T023000Z
DTEND;VALUE=DATE-TIME:20170808T033000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-5794@cern.ch
DESCRIPTION:Abstract:\nIt is well known that the prime numbers are equidis
tributed in arithmetic\nprogressions. Such a phenomenon is also observed m
ore generally for a\nclass of multiplicative functions. We derive some var
iants of such results\nand give a few applications. We also discuss an int
eresting application\nthat relates to the Chowla conjecture on correlation
s of the M\\"obius\nfunction\, and show its relevance to the twin prime co
njecture.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId
=5794
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5794
END:VEVENT
BEGIN:VEVENT
SUMMARY:`The cohomology groups of certain quotients of products of upper h
alf planes and upper half spaces'
DTSTART;VALUE=DATE-TIME:20170808T110000Z
DTEND;VALUE=DATE-TIME:20170808T120000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-5795@cern.ch
DESCRIPTION:Abstract:\nA theorem of Matsushima-Shimura shows that the the
space of\nharmonic differential forms on the quotient of products of upper
half\nplanes under the action of certain groups\, when the quotient is co
mpact\,\nis the direct sum of two subspaces called the universal and cuspi
dal\nsubspaces. We generalize this result to compact quotients of products
of\nupper half planes and upper half spaces (hyperbolic three spaces) und
er\nthe action of certain groups to obtain a similar decomposition. Using\
nHodge theory\, one gets information about the cohomology groups of such\n
quotients. This is joint work with Lydia Eldredge.\n\nhttps://indico.tifr.
res.in/indico/conferenceDisplay.py?confId=5795
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5795
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Functoriality and cycles'
DTSTART;VALUE=DATE-TIME:20170811T060000Z
DTEND;VALUE=DATE-TIME:20170811T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-5810@cern.ch
DESCRIPTION:Abstract:\nI will discuss the following question: is Langlands
functoriality\ngiven by algebraic cycles? After listing some examples of
interest\, the\ntalk will focus mostly on one case\, namely that of GL_2 a
nd its inner\nforms over a totally real field. In this case\, we can show
that\nfunctoriality is given by something close to an absolute Hodge cycle
. Time\npermitting\, I will conclude by mentioning some speculative ideas
on\npossible improvements and generalizations of this result. (Joint work
in\nprogress with Atsushi Ichino).\n\nhttps://indico.tifr.res.in/indico/co
nferenceDisplay.py?confId=5810
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5810
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cellular A^1-homology
DTSTART;VALUE=DATE-TIME:20170911T103000Z
DTEND;VALUE=DATE-TIME:20170911T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-5868@cern.ch
DESCRIPTION:Abstract: After a brief discussion of definitions and known r
esults\nregarding A^1-derived categories\, we will introduce the notion of
cellular\nA^1-homology of a scheme endowed with a ``nice" stratification.
We will\nthen describe how cellular A^1-homology can be used to give new
\ncomputations of A^1-homology sheaves by considering the stratifications\
ngiven by the Bruhat decomposition. The talk is based on joint work in\np
rogress with Fabien Morel.\n\nhttps://indico.tifr.res.in/indico/conference
Display.py?confId=5868
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5868
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Dualizing Complexes in the Noncommutative Arithmetic Context'
DTSTART;VALUE=DATE-TIME:20171016T090000Z
DTEND;VALUE=DATE-TIME:20171016T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-5937@cern.ch
DESCRIPTION:Abstract:\n\nDualizing complexes were first introduced in comm
utative algebra and\nalgebraic geometry by Grothendieck and play a fundame
ntal role in\nSerre-Grothendieck duality theory for schemes. The notion of
a dualizing\ncomplex was extended to noncommutative ring theory by Yekuti
eli. There are\nexistence theorems for dualizing complexes in the noncommu
tative context\,\ndue to Van den Bergh\, Wu\, Zhang\, and Yekutieli amongs
t others.\n\nMost considerations of dualizing complexes over noncommutativ
e rings are\nfor algebras defined over fields. There are technical difficu
lties\ninvolved in extending this theory to algebras defined over more gen
eral\ncommutative base rings. In this talk\, we will describe these challe
nges\nand how to get around them. Time permitting\, we will end by present
ing an\nexistence theorem for dualizing complexes in this more general set
ting.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=593
7
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5937
END:VEVENT
BEGIN:VEVENT
SUMMARY:`On local symplectic periods on general and unitary groups'
DTSTART;VALUE=DATE-TIME:20171016T103000Z
DTEND;VALUE=DATE-TIME:20171016T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-5952@cern.ch
DESCRIPTION:Abstract: \n\nLet E/F be a quadratic separable extension of no
n-archimedean\nlocal fields. The group Sp(2n\,F) sits inside both GL(2n\,F
) and U(2n\,F)\n(the quasi-split unitary group with respect to the extensi
on E/F) as a\nclosed subgroup. This talk is about Sp(2n\,F)-distinguished
representations\nof the aforementioned groups. I will begin by motivating
the question of\nclassifying distinguished representations for general sym
metric spaces\nafter which we will look into some specific classification
results for\nSp(2n\,F)-distinguished representations of these two groups.\
n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5952
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5952
END:VEVENT
BEGIN:VEVENT
SUMMARY:`The curve and the local Langlands correspondence'
DTSTART;VALUE=DATE-TIME:20171221T053000Z
DTEND;VALUE=DATE-TIME:20171221T064500Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-6108@cern.ch
DESCRIPTION:Abstract:\nI will explain the construction of the fundamental
curve of p-adic Hodge\ntheory and the classification of G-bundles on it. T
hen I will focus on the\nGL_1 case of my geometrization conjecture for the
local Langlands\ncorrespondence by explaining the structure of the Abel-J
acobi morphism in\nthis context.\n\nhttps://indico.tifr.res.in/indico/conf
erenceDisplay.py?confId=6108
LOCATION:TIFR\, Mumbai AG 77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6108
END:VEVENT
BEGIN:VEVENT
SUMMARY:`(\\phi\, \\Gamma)-modules'
DTSTART;VALUE=DATE-TIME:20180122T103000Z
DTEND;VALUE=DATE-TIME:20180122T120000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-6187@cern.ch
DESCRIPTION:Abstract\nWe present a brief overview of the theory of (\\phi\
, \\Gamma)-modules and\nsome of its applications to number theory.\n\nhttp
s://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6187
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6187
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Laumon 1-motives and motives with modulus'
DTSTART;VALUE=DATE-TIME:20180207T103000Z
DTEND;VALUE=DATE-TIME:20180207T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-6213@cern.ch
DESCRIPTION:Abstract:\nIn 1974\, Deligne introduced the category $\\mathc
al{M}_{1}$ of 1-motives\n(built out of semi-abelian varieties and lattices
)\nas algebraic analogue of the category of mixed Hodge structures of leve
l\n$\\leq 1$. Today\, thanks to the works of Ayoub\,\nBarbieri-Viale\, Kah
n\, Orgogozo and Voevodsky\, we know that the derived\ncategory $D^b(\\mat
hcal{M}_{1\, \\mathbb{Q}})$\ncan be embedded as a full subcategory of $\\m
athbf{DM}^{eff}_{gm}(k)\\otimes\n\\mathbb{Q}$\,\nand that this embedding a
dmits a left adjoint\, the so-called ``motivic\nAlbanese functor''.\nDelig
ne's original definition was later generalised by Laumon\, introducing\nwh
at are now known as ``Laumon 1-motives''\,\nto include in the picture all
commutative connected group schemes (rather\nthen only semi-abelian variet
ies).\nDue to the presence of unipotent groups (such as $\\mathbb{G}_a$)\,
the\nderived category of this bigger category cannot\nbe realised as a fu
ll subcategory of Voevodsky's motives. In this talk\, we\nwill explain how
at least a piece of this category\n(the ``\\'etale part'') can be embedde
d in the bigger motivic category\n$\\mathbf{MDM}^{eff}(k)$ of ``motives wi
th modulus''\,\nrecently introduced by Kahn-Saito-Yamazaki\, and that this
embedding also\nadmits a left adjoint\n(a generalized motivic Albanese fu
nctor). This is a joint work with Shuji\nSaito.\n\nhttps://indico.tifr.res
.in/indico/conferenceDisplay.py?confId=6213
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6213
END:VEVENT
BEGIN:VEVENT
SUMMARY:`The irrationality exponent of real numbers and the expansion in i
nteger bases'
DTSTART;VALUE=DATE-TIME:20180212T043000Z
DTEND;VALUE=DATE-TIME:20180212T053000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-6221@cern.ch
DESCRIPTION:Abstract:\nWe deduce a lower bound for the irrationality expon
ent of real numbers\nwhose sequence of b-ary digits is a Sturmian sequence
over {0\,1\,…\,b−1}\nand we prove that this lower bound is best possi
ble. If the\nirrationality exponent of \\xi is equal to 2 or slightly grea
ter than\n2\, then the b-ary expansion of \\xi cannot be 'too simple'\, in
a\nsuitable sense. Let r and s be multiplicatively independent positive\n
integers. We establish that the r-ary expansion and the s-ary\nexpansion o
f an irrational real number\, viewed as infinite words on\n{0\,1\,...\,r
− 1} and {0\,1\,...\,s − 1}\, respectively\, cannot have\nsimultaneous
ly a low block complexity. In particular\, they cannot be\nboth Sturmian w
ords.\nThis talk is based on joint work with Yann Bugeaud.\n\nhttps://indi
co.tifr.res.in/indico/conferenceDisplay.py?confId=6221
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6221
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Artin's conjecture for abelian varieties'
DTSTART;VALUE=DATE-TIME:20180220T060000Z
DTEND;VALUE=DATE-TIME:20180220T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-6232@cern.ch
DESCRIPTION:Abstract\nArtin's primitive root conjecture (1927) states that
\, for any\ninteger $a\\neq\\pm1$ or a perfect square\, there are infinit
ely many primes\n$p$ for which a is a primitive root (mod $p$). This con
jecture is not\nknown for any specific $a$. In my talk I will prove the eq
uivalent of this\nconjecture unconditionally for general abelian varieties
for all $a$.\nMoreover\, under GRH\, I will prove the strong form of Arti
n's conjecture\n(1927) for abelian varieties\, i.e.\, I will prove the den
sity and the\nasymptotic formula for the primitive primes.\n\nhttps://indi
co.tifr.res.in/indico/conferenceDisplay.py?confId=6232
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6232
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Artin's conjecture for abelian varieties'
DTSTART;VALUE=DATE-TIME:20180220T060000Z
DTEND;VALUE=DATE-TIME:20180220T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-6244@cern.ch
DESCRIPTION:Abstract:\nArtin's primitive root conjecture (1927) states tha
t\, for any\ninteger $a\\neq\\pm1$ or a perfect square\, there are infini
tely many primes\n$p$ for which a is a primitive root (mod $p$). This co
njecture is not\nknown for any specific $a$. In my talk I will prove the e
quivalent of this\nconjecture unconditionally for general abelian varietie
s for all $a$.\nMoreover\, under GRH\, I will prove the strong form of Art
in's conjecture\n(1927) for abelian varieties\, i.e.\, I will prove the de
nsity and the\nasymptotic formula for the primitive primes.\n\nhttps://ind
ico.tifr.res.in/indico/conferenceDisplay.py?confId=6244
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6244
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Cohomology of arithmetic groups and ghost classes'
DTSTART;VALUE=DATE-TIME:20180423T060000Z
DTEND;VALUE=DATE-TIME:20180423T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-6399@cern.ch
DESCRIPTION:Abstract:\nIn this talk we will introduce the definition of gh
ost classes\,\nwe will list some known results and finally we will present
methods to\nstudy their existence.\n\nhttps://indico.tifr.res.in/indico/c
onferenceDisplay.py?confId=6399
LOCATION:TIFR\, Mumbai AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6399
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Tensor product decomposition for the general linear supergroup $G
L(m|n)$'
DTSTART;VALUE=DATE-TIME:20181204T103000Z
DTEND;VALUE=DATE-TIME:20181204T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-6759@cern.ch
DESCRIPTION:Abstract\n$\\mathfrak{gl}(n)$ denote the Lie algebra of the ge
neral linear\ngroup $GL(n)$. Given two finite dimensional irreducible\nrep
resentations $L(\\lambda)\, L(\\mu)$ of $\\mathfrak{gl}(n)$\, its tensor\n
product decomposition $L(\\lambda) \\otimes L(\\mu)$ is given by the\nLitt
lewood-Richardson rule.\n\nThe situation becomes much more complicated whe
n one replaces\n$\\mathfrak{gl}(n)$ by the general linear Lie superalgebra
\n$\\mathfrak{gl}(m|n)$. The analogous decomposition $L(\\lambda) \\otimes
\nL(\\mu)$ is largely unknown. Indeed many aspects of the representation\n
theory of $\\mathfrak{gl}(m|n)$ are more akin to the study of Lie\nalgebra
s and their representations in prime characteristic or to the\nBGG categor
y $\\mathcal{O}$. I will give a survey talk about this\nproblem and explai
n why some approaches don't work and what can be\ndone about it. This will
give me the chance to speak about a) the\ncharacter formula for an irredu
cible representation $L(\\lambda)$\, b)\nDeligne's interpolating category
$Rep(GL_t)$ for $t \\in \\mathbb{C}$\nand c) the process of semisimplifica
tion of a tensor category.\n\nhttps://indico.tifr.res.in/indico/conference
Display.py?confId=6759
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6759
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the failure of Gorensteinness at weight 1 Eisenstein points of
the eigencurve
DTSTART;VALUE=DATE-TIME:20181226T060000Z
DTEND;VALUE=DATE-TIME:20181226T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-6808@cern.ch
DESCRIPTION:Abstract:\nThis is a joint work with Adel Betina and Alice Poz
zi. We prove that\nthe cuspidal p-adic eigencurve is etale over the weigh
t space at any\nclassical weight 1 Eisenstein point f. Further\, we show t
hat it meets\ntransversely at f each of the two Eisenstein components of t
he\neigencurve C passing through that point. We prove that the local ring\
nof C at f is Cohen-Macaulay but not Gorenstein and compute the\nq-expansi
ons of a basis of overconvergent weight 1 modular forms lying\nin the same
generalised eigenspace as f. The congruences between\ncuspidal and Eise
nstein families yield a new proof of the\nFerrero-Greenberg and Gross-Kobl
itz theorem on the order of vanishing\nof the Kubota-Leopoldt p-adic L-fun
ction at the trivial zero s=0\; we\nalso obtain the formula for its leadin
g term proved by Gross via a new\nmethod.\n\nhttps://indico.tifr.res.in/in
dico/conferenceDisplay.py?confId=6808
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6808
END:VEVENT
BEGIN:VEVENT
SUMMARY:`On the arithmetic of elliptic curves and Beilinson--Kato elements
'
DTSTART;VALUE=DATE-TIME:20181227T060000Z
DTEND;VALUE=DATE-TIME:20181227T071500Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-6804@cern.ch
DESCRIPTION:Abstract - Let E be an elliptic curve over the rationals with
conductor\nN. We plan to describe certain `rank one' aspects of arithmetic
of E and\nthe associated p-adic Beilinson--Kato elements (BK) for a prime
p. This\nincludes proof of Perrin-Riou conjecture for BK (in the case (p\
,2N)=1) and\na (new) proof of a theorem of Gross--Zagier\, Kolyvagin. Join
t with\nChristopher Skinner and Ye Tian.\n\nhttps://indico.tifr.res.in/ind
ico/conferenceDisplay.py?confId=6804
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6804
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Combining Fuchsian reflection groups and quadratic polynomial dyn
amics (after Lee\, Lyubich\, Makarov and Mukherjee)'
DTSTART;VALUE=DATE-TIME:20190109T103000Z
DTEND;VALUE=DATE-TIME:20190109T110000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-6826@cern.ch
DESCRIPTION:Abstract: Two fundamentally different kinds of holomorphic dyn
amical\nsystems exist on the Riemann sphere:\n1) Fuchsian or more generall
y Kleinian groups\n2) Iteration of polynomials or rational maps.\nThey hav
e been studied for more than a century starting with Poincare\,\nFatou and
Julia amongst others.\n\nA dictionary between the fundamental structures
of these two kinds of\ndynamical systems was brought into focus by Sulliva
n in the 80's and\nsubsequently by McMullen. However a common\nframework f
or dealing with both is lacking. A couple of recent papers by\nLee\, Lyub
ich\, Makarov and Mukherjee changes that and provides a natural\nclass of
examples where Fuchsian reflection groups on the one hand are\ncombined wi
th the dynamics of $z \\to z^2 +c$ on the other. This will be an\nexposito
ry talk where we shall first describe the dictionary\, say what is\nmeant
by combining dynamical systems and conclude with a description of\nthe res
ults of the authors.\n\nhttps://indico.tifr.res.in/indico/conferenceDispla
y.py?confId=6826
LOCATION: A-369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6826
END:VEVENT
BEGIN:VEVENT
SUMMARY:Strong symplectic foliations
DTSTART;VALUE=DATE-TIME:20190115T053000Z
DTEND;VALUE=DATE-TIME:20190115T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-6860@cern.ch
DESCRIPTION:Abstract:\nNovikov's theorem says that a codimension one taut
foliation on a three-manifold does not have any Reeb components. Thus the
class of taut foliations on three manifolds has a certain rigidity. For hi
gher dimensional manifolds\, the existence of a strong symplectic form has
been proposed as an analog for tautness in order to achieve similar rigid
ity. It was conjectured that strong symplectic foliations would satisfy an
analogue of Novikov's theorem. However\, this turned out to be false\, an
d in this talk\, I present a counter example.\n\n(The talk does not assume
any background in foliations.)\n\nhttps://indico.tifr.res.in/indico/confe
renceDisplay.py?confId=6860
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6860
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cannon-Thurston maps for CAT(0) groups with isolated flats
DTSTART;VALUE=DATE-TIME:20190130T053000Z
DTEND;VALUE=DATE-TIME:20190130T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-6886@cern.ch
DESCRIPTION:Astract\nConsider a hyperbolic 3-manifold\, called a mapping t
orus\, that fibers over\na circle with fiber a closed orientable surface o
f genus at least 2.\nCannon and Thurston showed that the inclusion map fro
m the surface into\nthe 3-manifold extends to a continuous\, surjective ma
p between the visual\nboundaries of the respective universal covers. This
gives a surjective map\nfrom a circle to a 2-sphere. Mj showed that a Cann
on-Thurston map also\nexists for a hyperbolic group and its normal hyperbo
lic subgroups. In this\ntalk\, we will explore what happens when we consid
er the mapping torus of a\nsurface with boundary\, which is not hyperbolic
but CAT(0) with isolated\nflats under some conditions.\n\nhttps://indico.
tifr.res.in/indico/conferenceDisplay.py?confId=6886
LOCATION: A-369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6886
END:VEVENT
BEGIN:VEVENT
SUMMARY:Universal models in ergodic theory
DTSTART;VALUE=DATE-TIME:20190131T083000Z
DTEND;VALUE=DATE-TIME:20190131T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-6887@cern.ch
DESCRIPTION:Abstract:\nA topological dynamical system is a pair (X\,T) whe
re T is a homeomorphism\nof a compact space X. A measure preserving action
is a triple (Y\, \\mu\, S)\nwhere Y is a standard Borel space\, \\mu is a
probability measure on X and S\nis a measurable automorphism of Y which p
reserves the measure \\mu. We say\nthat (X\,T) is universal if it can embe
d any measure preserving action\n(under some suitable restrictions).\n\nKr
ieger’s generator theorem shows that if X is A^Z (bi-infinite sequences\
nin elements of A) and T is the transformation on X which shifts its\nelem
ents one unit to the left then (X\,T) is universal. Along with Tom\nMeyero
vitch\, we establish very general conditions under which Z^d (where\nnow w
e have d commuting transformations on X)-dynamical systems are\nuniversal.
These conditions are general enough to prove that\n\n1) A self-homeomorph
ism with non uniform specification on a compact metric\nspace (answering a
question by Quas and Soo and recovering recent results\nby David Burguet)
\n2) A generic (in the sense of dense G_\\delta) self-homeomorphism of the
\n2-torus preserving Lebesgue measure (extending result by Lind and\nThouv
enot to infinite entropy)\n3) Proper colourings of the Z^d lattice with mo
re than two colours and the\ndomino tilings of the Z^2 lattice (answering
a question by Şahin and\nRobinson)\n\nare universal. Our results also ext
end to the almost Borel category giving\npartial answers to some questions
by Gao and Jackson.\n\nThe talk will not assume background in ergodic the
ory and dynamical systems.\n\nhttps://indico.tifr.res.in/indico/conference
Display.py?confId=6887
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6887
END:VEVENT
BEGIN:VEVENT
SUMMARY:Finiteness of cohomology of arithmetic families of (\\varphi\,\\Ga
mma)-modules
DTSTART;VALUE=DATE-TIME:20190201T060000Z
DTEND;VALUE=DATE-TIME:20190201T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-6890@cern.ch
DESCRIPTION:Abstract\nWe will describe new proofs of some results on finit
eness\nof cohomology of $(\\varphi\, \\Gamma)$-modules over Robba rings of
\n$p$-adic Hodge theory\, and indicate their applications to the theory\no
f $p$-adic families of automorphic forms. This is part of ongoing\nwork wi
th Eugen Hellmann and Ruochuan Liu.\n\nhttps://indico.tifr.res.in/indico/c
onferenceDisplay.py?confId=6890
LOCATION: A-369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6890
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Bigeodesics in first and last passage percolation'
DTSTART;VALUE=DATE-TIME:20190214T083000Z
DTEND;VALUE=DATE-TIME:20190214T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-6917@cern.ch
DESCRIPTION:Abstract\nFirst and last passage percolation are statistical p
hysics models of\nrandom growth. These models are widely believed to belon
g to the\nKardar-Parisi-Zhang universality class. I will define these two
models\nand talk about what it means to be in this universality class. A\n
longstanding question about these models is whether they have have\nbi-inf
inite geodesics. This question is of interest to physicists due\nto its co
nnections to the Ising model. I will discuss the recent\nprogress on this
question. This talk is based on joint work with\nDaniel Ahlberg\, Riddhipr
atim Basu and Allan Sly.\n\nhttps://indico.tifr.res.in/indico/conferenceDi
splay.py?confId=6917
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6917
END:VEVENT
BEGIN:VEVENT
SUMMARY:`Higher Hida and Coleman theories.'
DTSTART;VALUE=DATE-TIME:20190301T103000Z
DTEND;VALUE=DATE-TIME:20190301T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-6963@cern.ch
DESCRIPTION:Abstract:\nWe give a description of the (ordinary part/finite
slope part of) higher\ncoherent cohomology of automorphic vector bundles
on two simple Shimura\nvarieties : modular curves and Siegel threefolds.\n
\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6963
LOCATION: A-369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6963
END:VEVENT
BEGIN:VEVENT
SUMMARY:C.S. Seshadri Memorial Lectures
DTSTART;VALUE=DATE-TIME:20200731T103000Z
DTEND;VALUE=DATE-TIME:20200731T123000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-7741@cern.ch
DESCRIPTION:Speakers\nJ. P. Demailly(On Seshadri Constant)\nP. Littelmann(
Standard Monomials)\nV. Balaji(On GIT)\n\nhttps://indico.tifr.res.in/indic
o/conferenceDisplay.py?confId=7741
LOCATION:
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=7741
END:VEVENT
BEGIN:VEVENT
SUMMARY:Residual categories of Grassmannians
DTSTART;VALUE=DATE-TIME:20201016T093000Z
DTEND;VALUE=DATE-TIME:20201016T103000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-7828@cern.ch
DESCRIPTION:Abstract:\nExceptional collections in derived categories of co
herent sheaves have a\nlong history going back to the pioneering work of A
. Beilinson. After\nrecalling the general setup\, I will concentrate on so
me recent\ndevelopments inspired by the homological mirror symmetry. Namel
y\, I will\ndefine residual categories of Lefschetz decompositions and dis
cuss a\nconjectural relation between the structure of quantum cohomology a
nd\nresidual categories. I will illustrate this relationship in the case o
f\nsome isotropic Grassmannians. This is a joint work with Alexander\nKuzn
etsov.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=78
28
LOCATION: over zoom
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=7828
END:VEVENT
BEGIN:VEVENT
SUMMARY:Semiorthogonal decompositions for singular varieties
DTSTART;VALUE=DATE-TIME:20201023T100000Z
DTEND;VALUE=DATE-TIME:20201023T110000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-7827@cern.ch
DESCRIPTION:Abstract:\nI will define a semiorthogonal decomposition for de
rived categories of\nsingular projective varieties due to Kawamata\, into
finite-dimensional\nalgebras\, generalizing the concept of an exceptional
collection in the\nsmooth case. I will present known constructions of thes
e for nodal curves\n(Burban)\, torsion-free toric surfaces (Karmazyn-Kuzne
tsov-Shinder) and two\nnodal threefolds (Kawamata). Finally\, I will expla
in obstructions coming\nfrom the K_{-1} group\, and how it translates to m
aximal nonfactoriality in\nthe nodal threefold case. This is joint work wi
th M.Kalck and N.Pavic.\n\nhttps://indico.tifr.res.in/indico/conferenceDis
play.py?confId=7827
LOCATION: over zoom
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=7827
END:VEVENT
BEGIN:VEVENT
SUMMARY:Geometric invariants and geometric consistency of Manin's conjectu
re.
DTSTART;VALUE=DATE-TIME:20201106T000000Z
DTEND;VALUE=DATE-TIME:20201106T010000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-7852@cern.ch
DESCRIPTION:Abstract: Let X be a Fano variety with an associated height fu
nction\ndefined over a number field. Manin's conjecture predicts that\, af
ter\nremoving a thin set\, the asymptotic growth of the number of rational
\npoints of bounded height on X is controlled by certain geometric\ninvari
ants (e.g. the Fujita invariant of X). I will talk about how to use\nbirat
ional geometric methods to study the behaviour of these invariants\nand pr
opose a geometric description of the thin set in Manin's conjecture.\nPart
of this is joint work with Brian Lehmann and Sho Tanimoto.\n\nhttps://ind
ico.tifr.res.in/indico/conferenceDisplay.py?confId=7852
LOCATION: Over Zoom
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=7852
END:VEVENT
BEGIN:VEVENT
SUMMARY:Holomorphic 1-forms and geometry
DTSTART;VALUE=DATE-TIME:20201113T100000Z
DTEND;VALUE=DATE-TIME:20201113T110000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-7856@cern.ch
DESCRIPTION:Abstract: In this talk I will discuss various consequences of
zeros global\nholomorphic 1-forms on smooth projective varieties. It has b
een indicated\nby plethora of results that a lot of the geometry is dictat
ed by 1-forms\nthat admit zeros. I will present some old and new results i
n this\ndirection. Later I will focus on a special set of such 1-forms whi
ch arise\nout of both the generic vanishing theory and the decomposition t
heorem.\nThis is a joint work with Feng Hao and Yongqiang Liu.\n\nhttps://
indico.tifr.res.in/indico/conferenceDisplay.py?confId=7856
LOCATION: Via Zoom
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=7856
END:VEVENT
BEGIN:VEVENT
SUMMARY:The cobordism ring of algebraic involutions
DTSTART;VALUE=DATE-TIME:20201120T093000Z
DTEND;VALUE=DATE-TIME:20201120T103000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-7862@cern.ch
DESCRIPTION:Abstract:\nI will provide an elementary definition of the cobo
rdism ring of\ninvolutions of smooth projective varieties over a field (of
characteristic\nnot 2). I will describe its structure\, and give explicit
"stable"\npolynomial generators. I will draw some concrete consequences c
oncerning\nthe geometry of fixed loci of involutions\, in terms of Chern n
umbers. I\nwill in particular mention an algebraic version of Boardman's f
ive halves\ntheorem.\n\nhttps://indico.tifr.res.in/indico/conferenceDispla
y.py?confId=7862
LOCATION: Over Zoom
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=7862
END:VEVENT
BEGIN:VEVENT
SUMMARY:Algebraic cycles and refined unramified cohomology
DTSTART;VALUE=DATE-TIME:20201127T090000Z
DTEND;VALUE=DATE-TIME:20201127T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-7869@cern.ch
DESCRIPTION:Abstract:\nWe introduce refined unramified cohomology groups.
This notion allows us to give in arbitrary degree a cohomological interpre
tation of the failure of integral Hodge- or Tate-type conjectures\, of l-a
dic Griffiths groups\, and of the subgroup of the Griffiths group that con
sists of torsion classes with trivial transcendental Abel-Jacobi invariant
. Our approach simplifies and generalizes to cycles of arbitrary codimensi
on previous results of Bloch-Ogus\, Colliot-Thélène-Voisin\, Voisin\, an
d Ma that concerned cycles of codimension two or three. As an application\
, we give for any i>2 the first example of a uniruled smooth complex proje
ctive variety for which the integral Hodge conjecture fails for codimensio
n i-cycles in a way that cannot be explained by the failure on any lower-d
imensional variety.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay
.py?confId=7869
LOCATION: Via Zoom
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=7869
END:VEVENT
BEGIN:VEVENT
SUMMARY:Delta Geometry and Group Schemes
DTSTART;VALUE=DATE-TIME:20201211T093000Z
DTEND;VALUE=DATE-TIME:20201211T103000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-7892@cern.ch
DESCRIPTION:Abstract: Delta geometry was initially developed by A. Buium a
s an\n\nanalogue of differential algebra. In this theory\, a non-linear op
erator\n\\delta with respect to a non-zero prime \\mathfrak{p} on a fixed
number\nring plays the analogous role of a derivation in the case of funct
ion\nrings. Such a \\delta comes from the ring of Witt vectors and its\na
ssociated lift of Frobenius. As an example\, \\delta on the ring of\ninteg
ers \\mathbb{Z} is the Fermat quotient operator given by \\delta x =\n\\fr
ac{x-x^p}{p}.\n\nNow given a group scheme G defined over a ring with a \\d
elta on it\, for\nevery n\, one can canonically define the arithmetic jet
space J^nG which\nis an extension of G by another group scheme N^n. In th
is talk\, we will\ndiscuss the structure of N^n in detail. We will then lo
ok into the\napplication of the above in p-adic Hodge theory in the case w
hen G is an\nabelian scheme.\n\nhttps://indico.tifr.res.in/indico/conferen
ceDisplay.py?confId=7892
LOCATION:
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=7892
END:VEVENT
BEGIN:VEVENT
SUMMARY:Blown-up toric surfaces with non-polyhedral effective cone
DTSTART;VALUE=DATE-TIME:20201218T093000Z
DTEND;VALUE=DATE-TIME:20201218T103000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-7895@cern.ch
DESCRIPTION:Abstract:I will report on recent joint work with Antonio Lafac
e\, Jenia Tevelev and Luca Ugaglia. We construct examples of projective to
ric surfaces whose blow-up at a general point has a non-polyhedral pseudoe
ffective cone\, both in characteristic 0 and in prime characteristic. As a
consequence\, we prove that the pseudo-effective cone of the Grothendieck
-Knudsen moduli space of stable\, n-pointed\, rational stable curves\, is
not polyhedral if n>=10 in characteristic 0 and in positive characteristic
for an infinite set of primes of positive density. In particular\, these
moduli spaces are not Mori dream spaces even in positive characteristic.
\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=7895
LOCATION:Via Zoom
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=7895
END:VEVENT
BEGIN:VEVENT
SUMMARY:Irregular fibrations and derived categories
DTSTART;VALUE=DATE-TIME:20210115T093000Z
DTEND;VALUE=DATE-TIME:20210115T103000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-7913@cern.ch
DESCRIPTION:Abstract: In this seminar I will show that an equivalence of d
erived\ncategories of sheaves of smooth projective varieties preserves som
e\nspecific classes of fibrations over varieties of maximal Albanese\ndime
nsion. These types of fibrations\, called chi-positive higher\nirrational
pencils\, can be thought as an extension to higher-dimension of\nthe notio
n of a irrational pencil over a smooth curve of genus greater or\nequal to
two. This is a joint work with F. Caucci and G. Pareschi.\n\nhttps://indi
co.tifr.res.in/indico/conferenceDisplay.py?confId=7913
LOCATION: via zoom
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=7913
END:VEVENT
BEGIN:VEVENT
SUMMARY:M.S. Narasimhan memorial meeting
DTSTART;VALUE=DATE-TIME:20210604T083000Z
DTEND;VALUE=DATE-TIME:20210604T103000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8062@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
8062
LOCATION: Over zoom
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8062
END:VEVENT
BEGIN:VEVENT
SUMMARY:Families of $(\\varphi\, \\tau)$-modules and Galois representation
s
DTSTART;VALUE=DATE-TIME:20211217T060000Z
DTEND;VALUE=DATE-TIME:20211217T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8259@cern.ch
DESCRIPTION:Abstract:Let $K$ be a finite extension of $\\mathbb{Q}_p$. The
theory of\n$(\\varphi\, \\Gamma)$-modules constructed by Fontaine provide
s a good\ncategory to study $p$-adic representations of the absolute Galoi
s group\n$Gal(\\bar{K}/K)$. This theory arises from a ``devissage'' of the
extension\n$\\bar{K}/K$ through an intermediate extension $K_{\\infty}/K$
which is the\ncyclotomic extension of $K$. The notion of $(\\varphi\, \\t
au)$-modules\ngeneralizes Fontaine's constructions by using Kummer extensi
ons other than\nthe cyclotomic one. It is desirable to establish propertie
s of $(\\varphi\,\n\\tau)$-modules parallel to the cyclotomic case. In thi
s talk\, we explain\nconstruction of a functor that associates to a family
of $p$-adic Galois\nrepresentations a family of $(\\varphi\, \\tau)$-modu
les\, analogous to a\nconstruction of Berger and Colmez in the $(\\varphi\
, \\Gamma)$-modules case.\nThis is joint work with L\\'{e}o Poyeton.\n\nht
tps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8259
LOCATION: A369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8259
END:VEVENT
BEGIN:VEVENT
SUMMARY:Markov chains for groups acting geometrically finitely on hyperbol
ic spaces
DTSTART;VALUE=DATE-TIME:20220504T103000Z
DTEND;VALUE=DATE-TIME:20220504T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8393@cern.ch
DESCRIPTION:Abstract: We discuss some recent results related to the study
of Markov\nchains on hyperbolic-type groups\, corresponding boundary theor
y and\napplications.\n\nhttps://indico.tifr.res.in/indico/conferenceDispla
y.py?confId=8393
LOCATION:
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8393
END:VEVENT
BEGIN:VEVENT
SUMMARY:Affine Deligne-Lusztig Varieties and Quantum Bruhat Graph
DTSTART;VALUE=DATE-TIME:20220608T090000Z
DTEND;VALUE=DATE-TIME:20220608T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8442@cern.ch
DESCRIPTION:Abstract: The study of affine Deligne-Lusztig varieties (ADLVs
) X_w(b) and their certain union X(\\mu\,b) arose from the study of Shimur
a varieties with Iwahori level structure. As such\, understanding their st
ructural properties has been crucial in studying reductions of Shimura var
ieties in the context of arithmetic geometry. On the other hand\, first in
troduced in enumerative geometry to describe the quantum cohomology ring o
f a complex flag variety\, quantum Bruhat graphs have proved to be useful
in recent years in certain Lie-theoretic and arithmetic-geometric problems
. For instance\, they encode covering relations in affine Weyl group and g
ive rise to useful description of the admissible set and the Demazure prod
uct\; these in turn allow us to understand the generic Newton point in Iwa
hori double cosets in loop groups and hence find applications in the probl
em of dimensions and irreducible components of certain ADLVs. We will disc
uss these recent developments and report on some ongoing work.\n\nhttps://
indico.tifr.res.in/indico/conferenceDisplay.py?confId=8442
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8442
END:VEVENT
BEGIN:VEVENT
SUMMARY:Different definitions of unstable orthogonal K_2
DTSTART;VALUE=DATE-TIME:20220617T083000Z
DTEND;VALUE=DATE-TIME:20220617T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8456@cern.ch
DESCRIPTION:Abstract: Many approaches to higher algebraic $\\mathrm K$-the
ory and\nHermitian $\\mathrm K$-theory are known. For example\, stable Qui
llen's\ngroups $\\mathrm K_n(R)$ (defined e.\\\,g. via the $+$-constructio
n) and\nstable Karoubi--Villamayor groups $\\mathrm{KV}_n(R)$ (defined via
standard\nsimplicial scheme) coincide for $n\\geq 1$ if $R$ happens to be
a regular\nring. These theories use infinite-dimensional algebraic groups
such as\n$\\mathrm{GL}_\\infty(R)$ in their definition. In this talk we w
ill discuss\nan {\\it unstable} analogue of such result for the functor $\
\mathrm K_2$.\n\nThe interest for the unstable Quillen's $\\mathrm K_2$-gr
oups\, in\nparticular\, comes from the fact that they appear in Steinberg'
s\npresentation of the groups of points of algebraic groups by means of\ng
enerators and relations. On the other hand\,Karoubi--Villamayor $\\mathrm\
nK_2$-groups can be interpreted as fundamental groups in the unstable\n$\\
mathbb{A}^1$-homotopy category $\\mathscr{H}_\\bullet(k)$ of F.~Morel and\
nV.~Voevodsky (using results of A.\\\,Asok\, M.\\\,Hoyois and M.\\\,Wendt)
.\nConjecturally\, for any split simple group $G=\\mathrm G(\\Phi\,R)$ wit
h\n$\\mathrm{rk}\\\,\\Phi\\geq5$ and regular ring $R$ holds an equality\n\
\begin{align}\n\\label{conj} \\pi_1^{\\mathbb A^1}(G)(R)=\\pi_2(\\mathrm B
G^+).\n\\end{align}\n\nWe remark that the Nisnevich localization\n$\\mathr
m{a_{Nis}}\\\,\\pi_1^{\\mathbb\nA^1}(G)(R)$ of $\\mathbb A^1$-fundamental
groups was recently computed by\nF.\\\,Morel and A.\\\,Sawant\, and coinci
des with the unramified Milnor\n$\\mathrm{\\underline{K}_2^M}$ or Milnor-W
itt\n$\\mathrm{\\underline{K}_2^{MW}}$ sheaf depending on $\\Phi$.\n\nConj
ecture~(\\ref{conj}) is parallel to the Serre's problem and\nBass--Quillen
\nconjecture\, and we adopt Quillen--Suslin and Lindel--Popesque results f
or\nthis case. In particular\, for $\\Phi=\\mathsf A_l\,\\\,\\mathsf D_l$
this\nconjecture is already proven for a regular ring $R$ containing a fie
ld $k$\nof characteristic $\\neq 2$\, $l\\geq7$.\n\nAs a corollary\, one c
an obtain the following results.\n\\begin{itemize}\n\\item The group $\\ma
thrm{Spin}_{2l}(k[t_1\,\\ldots\, t_n])$ admits an\nexplicit presentation b
y means of generators and relation (generalizing\nSteinberg's presentation
in the case $n=0$).\n\\item $\\mathrm H_2(\\mathrm{Spin}_{2l}(k[t_1\,\\ld
ots\,t_n])\,\\\,\\mathbb Z\\big)\n= \\mathrm K^\\mathrm{M}_2(k).$\n\\item
$\\mathrm H_2 (\\mathrm{O}_{2l}(R[t])\, \\mathbb Z) = \\mathrm H_2\n(\\mat
hrm{O}_{2l}(R)\, \\mathbb Z).$\n\\end{itemize}\n\n\nThe talk is based on m
y joint work with Sergey Sinchuk and Egor\nVoronetsky.\n\nhttps://indico.t
ifr.res.in/indico/conferenceDisplay.py?confId=8456
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8456
END:VEVENT
BEGIN:VEVENT
SUMMARY:Extending Taubes' Gromov invariant to Calabi-Yau 3-folds
DTSTART;VALUE=DATE-TIME:20220706T103000Z
DTEND;VALUE=DATE-TIME:20220706T120000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8470@cern.ch
DESCRIPTION:Abstract: I will describe the construction of an integer-value
d symplectic invariant counting embedded pseudo-holomorphic curves in a Ca
labi-Yau 3-fold in certain cases. This may be seen as an analogue of the G
romov invariant defined by Taubes for symplectic 4-manifolds. The construc
tion depends on a detailed bifurcation analysis of the moduli space of emb
edded curves along generic paths of almost complex structures. This is bas
ed on joint work with Shaoyun Bai.\n\nhttps://indico.tifr.res.in/indico/co
nferenceDisplay.py?confId=8470
LOCATION: Math. Seminar Room (A-369) as well as Via Zoom
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8470
END:VEVENT
BEGIN:VEVENT
SUMMARY:An Invitation to Descriptive Group Theory
DTSTART;VALUE=DATE-TIME:20220719T093000Z
DTEND;VALUE=DATE-TIME:20220719T103000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8492@cern.ch
DESCRIPTION:Abstract: I will present joint work with I. Goldbring and Y. L
odha where\nwe study the space of enumerated groups which is a topological
Polish\nspace consisting of enumerations of countable groups. We also stu
dy Polish\nsubspaces of this space consisting of groups with desired prope
rties such\nas amenability\, orderability etc. The fundamental problem of
proving or\ndisproving existence of co-meager isomorphism classes in these
spaces is\nsurprisingly mysterious. We settle this problem for a family o
f subspaces\nincluding the space of all countable enumerated groups and th
e space of\nall left orderable enumerated groups. Our work crucially uses
tools from\ndescriptive set theory\, combinatorial group theory and model
theoretic\nforcing\, especially ideas of Hodges.\n\nhttps://indico.tifr.re
s.in/indico/conferenceDisplay.py?confId=8492
LOCATION: Math. Seminar Room (A-369)
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8492
END:VEVENT
BEGIN:VEVENT
SUMMARY:Short second moment bound and subconvexity for GL(3) L-functions
DTSTART;VALUE=DATE-TIME:20220727T053000Z
DTEND;VALUE=DATE-TIME:20220727T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8485@cern.ch
DESCRIPTION:Abstract: We bound a short second moment average of the L-func
tion of a GL(3) Hecke-Maass cusp form. This yields a t-aspect subconvexity
bound and improves upon the earlier works. The main tools used are Duke-F
riedlander-Iwaniec’s circle method\, stationary phase analysis and bound
s on exponential sums due to Adolphson and Sperber obtained by their exten
sion of Dwork’s cohomology theory. This is a joint work with Ritabrata M
unshi and Wing Hong Leung.\n\nhttps://indico.tifr.res.in/indico/conference
Display.py?confId=8485
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8485
END:VEVENT
BEGIN:VEVENT
SUMMARY:Filtration of cohomology via symmetric semisimplicial spaces
DTSTART;VALUE=DATE-TIME:20220802T090000Z
DTEND;VALUE=DATE-TIME:20220802T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8502@cern.ch
DESCRIPTION:Abstract: Inspired by Deligne's use of the simplicial theory o
f\nhypercoverings in defining mixed Hodge structures\, we replace the inde
xing\ncategory $\\Delta$ by the \\emph{symmetric simplicial category} $\\D
elta S$\nand study (a class of) $\\Delta S$-hypercoverings- which also hap
pen to\nappear in the avatar of modules over graded commutative monoids of
the\nform $\\mathit{Sym} M$ for some space $M$. For $\\Delta S$-hypercove
rings we\nconstruct a spectral sequence\, somewhat like the\n$\\check{\\ma
thrm{C}}$ech-to-derived category spectral sequence\, obtaining\nunified pr
oof of old results and new-- like the computation of (in some\ncases\, sta
ble) singular cohomology (with $\\mathbb{Q}$ coefficients) and\n\\'etale c
ohomology (with $\\mathbb{Q}_{\\ell}$ coefficients) of the moduli\nspace o
f degree $n$ maps $C\\to \\mathbb{P}^r$\, $C$ a smooth projective\ncurve o
f genus $g$\, of unordered configuration spaces\, of the moduli space\nof
smooth sections of a fixed $\\mathfrak{g}^r_d$ that is $m$-very ample\nfor
some $m$\, some geoemetric Batyrev--Manin type conjectures over global\nf
unction fields for weighted projective spaces etc. In the special case\nw
hen a $\\Delta S$-object $X_{\\bullet}$ \\emph{admits a symmetric\nsemisi
mplicial filtration by $M$}\, the derived indecomposables of\n$H^*(X_{\\bu
llet})$ as a $H^*(\\mathit{Sym} M)$-module (in the sense of\nGalatius--Kup
ers--Randal--Williams) give the cohomology of the space of\n\\emph{$M$-ind
ecomposables}.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?c
onfId=8502
LOCATION: AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8502
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bialgebraicity in Riemann-Hilbert and other algebraization results
DTSTART;VALUE=DATE-TIME:20220822T053000Z
DTEND;VALUE=DATE-TIME:20220822T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8523@cern.ch
DESCRIPTION:Abstract: In this talk\, we describe an o-minimal proof of a c
lassical\nresult of Carlos Simpson characterizing the subvarieties of the
rank one\nBetti moduli space attached to a smooth projective algebraic var
iety whose\nimage under the Riemann-Hilbert correspondence is also an alge
braic\nsubvariety of the de Rham moduli space. I shall also describe a p-a
dic\nanalogue of this result.\n\nIf time permits\, I shall talk about ongo
ing work with Ananth Shankar and\nAnand Patel on a p-adic algebraization r
esult for analytic maps into\nShimura varieties.\n\nhttps://indico.tifr.re
s.in/indico/conferenceDisplay.py?confId=8523
LOCATION: A369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8523
END:VEVENT
BEGIN:VEVENT
SUMMARY:Finite-group actions on reductive groups and buildings II: the una
uthorized sequel
DTSTART;VALUE=DATE-TIME:20220823T103000Z
DTEND;VALUE=DATE-TIME:20220823T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8522@cern.ch
DESCRIPTION:Abstract:\nLet $k$ be a nonarchimedian local field\, $\\wideti
lde{G}$ a connected\nreductive $k$-group\, $\\Gamma$ a finite group of aut
omorphisms of\n$\\widetilde{G}$\, and $G:= (\\widetilde{G}^\\Gamma)^\\circ
$ the connected part\nof the group of $\\Gamma$-fixed points of $\\widetil
de{G}$.\nThe first half of my talk will concern motivation: a desire for a
more\nexplicit understanding of base change and other liftings of\nrepres
entations. Toward this end\, we adapt some results of\nKaletha-Prasad-Yu.
Namely\, if one assumes that the residual characteristic\nof $k$ does no
t divide the order of $\\Gamma$\, then they show\, roughly\nspeaking\, tha
t $G$ is reductive\, the building $\\mathcal{B}(G)$ of $G$\nembeds in the
set of $\\Gamma$-fixed points of $\\mathcal{B}(\\widetilde{G})$\,\nand sim
ilarly for reductive quotients of parahoric subgroups.\n\nWe prove similar
statements\, but under a different hypothesis on $\\Gamma$.\nOur hypothes
is does not imply that of K-P-Y\, nor vice versa. I will include\nsome com
ments on how to resolve such a totally unacceptable situation.\n\n(This is
joint work with Joshua Lansky and Loren Spice.)\n\nhttps://indico.tifr.re
s.in/indico/conferenceDisplay.py?confId=8522
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8522
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Dimer Model in 3 dimensions
DTSTART;VALUE=DATE-TIME:20220905T110000Z
DTEND;VALUE=DATE-TIME:20220905T120000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8544@cern.ch
DESCRIPTION:Abstract: The dimer model\, also referred to as domino tilings
or perfect\nmatching\, are tilings of the Z^d lattice by boxes exactly on
e of whose\nsides has length 2 and the rest have length 1. This is a very
well-studied\nstatistical physics model in two dimensions with many tools
like height\nfunctions and Kasteleyn determinant representation coming to
its aid. The\nhigher dimensional picture is a little daunting because most
of these\ntools are limited to two dimensions. In this talk I will descri
be what\ntechniques can be extended to higher dimensions and give a brief
account of a large deviations principle for dimer tilings in three dimensi
ons that we prove analogous to the results by Cohn\, Kenyon and Propp (200
0). This is joint work with Scott Sheffield and Catherine Wolfram.\n\nhttp
s://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8544
LOCATION: A369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8544
END:VEVENT
BEGIN:VEVENT
SUMMARY:Localization theorem for algebraic stacks
DTSTART;VALUE=DATE-TIME:20220906T103000Z
DTEND;VALUE=DATE-TIME:20220906T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8543@cern.ch
DESCRIPTION:Abstract: The classical Atiyah-Bott localization theorem in eq
uivariant\nsingular cohomology for spaces with torus action is one of the
main\ncomputational tools in enumerative geometry. The need to access gene
ral\nparameter spaces (singular and stacky) and the need for refined count
s (in\nother cohomology theories) motivates the need for a more general\nl
ocalization theorem. In this talk\, based on recent joint work with Dhyan\
nAranha\, Adeel Khan\, Alexei Latyntsev and Hyeonjun Park\, we will discus
s\nsuch a unified Atiyah-Bott localization theorem for equivariant cohomol
ogy\ntheories of algebraic stacks.\n\nhttps://indico.tifr.res.in/indico/co
nferenceDisplay.py?confId=8543
LOCATION:
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8543
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dynamics on spaces of discrete sets
DTSTART;VALUE=DATE-TIME:20220908T083000Z
DTEND;VALUE=DATE-TIME:20220908T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8547@cern.ch
DESCRIPTION:Abstract: In two recent unrelated works\, the dynamics of the
affine group\nacting on discrete subsets of R^n has been important. We kno
w very little\nabout this dynamical system\, in particular very few invari
ant measures are\nknown and one may conjecture a measure classification in
this context. I\nwill survey this circle of problems.\n\nhttps://indico.t
ifr.res.in/indico/conferenceDisplay.py?confId=8547
LOCATION:
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8547
END:VEVENT
BEGIN:VEVENT
SUMMARY:Weil-Petersson geometry of Teichmuller space
DTSTART;VALUE=DATE-TIME:20220912T110000Z
DTEND;VALUE=DATE-TIME:20220912T120000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8549@cern.ch
DESCRIPTION:Abstract: The Weil-Petersson metric is a negatively curved\, i
ncomplete\nRiemannian metric on the Teichmuller space with connections to
hyperbolic\ngeometry. In this talk we present some results about the behav
ior of\ngeodesics of the metric and its relation to subsurface coefficient
s in\nanalogy with continued fraction expansions.\n\nhttps://indico.tifr.r
es.in/indico/conferenceDisplay.py?confId=8549
LOCATION: Math. Seminar Room (A-369) as well as Via Zoom
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8549
END:VEVENT
BEGIN:VEVENT
SUMMARY:Infinite torsion in Griffiths groups
DTSTART;VALUE=DATE-TIME:20220913T103000Z
DTEND;VALUE=DATE-TIME:20220913T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8546@cern.ch
DESCRIPTION:Abstract: The Griffiths group of degree $i$ of a smooth projec
tive complex\nvariety is the group of homologically trivial codimension $i
$ algebraic\ncycles on it modulo algebraic equivalence. We will outline a
new method due\nto S. Schreieder to detect nontriviality of classes in Gri
ffiths\ngroups\, which was used by him to show that there exist smooth pro
jective\ncomplex varieties with infinite 2-torsion in their degree 3 Griff
iths\ngroups\, addressing a question due to C. Shoen. The talk is based on
the\npreprint https://arxiv.org/abs/2011.15047 by S. Schreieder.\n\nhttps
://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8546
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8546
END:VEVENT
BEGIN:VEVENT
SUMMARY:Limit sets of paths in Outer space
DTSTART;VALUE=DATE-TIME:20220919T110000Z
DTEND;VALUE=DATE-TIME:20220919T120000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8574@cern.ch
DESCRIPTION:Abstract: In analogy to the mapping class group acting on the
Teichmuller space\, we have the group of outer automorphisms of the free g
roup acting on Culler-Vogtmann's `Outer space'. The limit sets of geodesic
s in Teichmuller space exhibit very interesting and varied phenomena with
respect to the Teichmuller metric\, Thurston metric and Weil Petersson met
ric. In this talk\, we will look for similar results for `folding/unfoldin
g' paths in Outer space.\n\nhttps://indico.tifr.res.in/indico/conferenceDi
splay.py?confId=8574
LOCATION: Math. Seminar Room (A-369)
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8574
END:VEVENT
BEGIN:VEVENT
SUMMARY:Abundance Conjecture on Uniruled Varieties
DTSTART;VALUE=DATE-TIME:20220920T103000Z
DTEND;VALUE=DATE-TIME:20220920T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8559@cern.ch
DESCRIPTION:Abstract: This content of this talk is a paper of Valdimir Laz
ic. Abundance conjecture says that if X is a smooth projective variety suc
h that its canonical divisor K_X is nef\, i.e. K_X intersects every curve
non-negatively\, then there is a positive integer m such that the m-th ten
sor power of the canonical line bundle \\omega_X^{\\otimes m}\\cong \\math
cal{O}_X(mK_X) has non-zero global sections\, and moreover\, these global
sections generate the line bundle \\omega_X^{\\otimes m}. In particular\,
there is a projective morphism f:X\\to \\mathbb{P}^N to a porjective space
determined by global sections of \\omega_X^{\\otimes m}. This morphism al
lows X to be seen as a fibration of Calabi-Yau varieties (i.e. varieties w
hose canonical classes are trivial). The Abudance conjecture is one of mos
t important outstanding conjecture in the minimal model program. In the pa
per titled ‘’Abundance for Uniruled Varieties which are not Rationally
Connected’’\, Lazic shows that if (X\, B) is a klt pair of dimension
n such that X is uniruled but not rationally connected\, and if we assume
that the minimal model program holds in dimension n-1\, then the Abundance
conjecture holds for (X\, B) is dimension n. In my talk I will explain th
e main ideas and techniques of Lazic’s proof.\n\nhttps://indico.tifr.res
.in/indico/conferenceDisplay.py?confId=8559
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8559
END:VEVENT
BEGIN:VEVENT
SUMMARY:Homotopy type of equivariant symplectomorphisms of rational ruled
surfaces
DTSTART;VALUE=DATE-TIME:20220921T060000Z
DTEND;VALUE=DATE-TIME:20220921T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8580@cern.ch
DESCRIPTION:Abstract: In this talk\, we present results on the homotopy ty
pe of the\ngroup of equivariant symplectomorphisms of $S^2 \\times S^2$ an
d\n$\\mathbb{C}P^2$ blown up once under the presence of a Hamiltonian circ
le\nactions. We prove that the group of equivariant symplectomorphisms is\
nhomotopy equivalent to either a torus\, or to the homotopy pushout of two
\ntori depending on whether the circle action extends to a single toric\na
ction or to exactly two nonequivalent toric actions. Our results rely on\n
J-holomorphic techniques\, on Delzant’s classification of toric actions\
,\nand on Karshon’s classification of Hamiltonian circle actions on\n4-m
anifolds. Time permitting we will explain results of a similar flavour\non
the homotopy type of $\\mathbb{Z}_n$ equivariant symplectomorphisms for\n
a large family of finite cyclic groups in the Hamiltonian group. This is\n
based on joint work with Martin Pinsonnault.\n\nhttps://indico.tifr.res.in
/indico/conferenceDisplay.py?confId=8580
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8580
END:VEVENT
BEGIN:VEVENT
SUMMARY:The approximation by conjugation method in smooth ergodic theory
DTSTART;VALUE=DATE-TIME:20220922T083000Z
DTEND;VALUE=DATE-TIME:20220922T093000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8579@cern.ch
DESCRIPTION:Abstract: In 1969 D.V. Anosov and A. Katok came up with a reci
pe\, now\nknown as the 'approximation by conjugation' method or the 'Anoso
v-Katok'\nmethod to construct examples of smooth transformations in ergodi
c theory.\nThough these diffeomorphisms are often viewed as "exotic if not
\npathological"\, they have managed to gain a considerable amount of\natte
ntion in recent years\, specially in regards to the isomorphism\nproblems\
, smooth realization problems\, and many other problems from\nclassical sm
ooth ergodic theory. In this talk we will have a description\nof this tech
nique and talk about some applications.\n\nhttps://indico.tifr.res.in/indi
co/conferenceDisplay.py?confId=8579
LOCATION: Math. Seminar Room (A-369)
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8579
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gromov-Tischler theorem for symplectic stratified spaces
DTSTART;VALUE=DATE-TIME:20220926T110000Z
DTEND;VALUE=DATE-TIME:20220926T120000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8585@cern.ch
DESCRIPTION:Abstract: Singular symplectic spaces appear naturally as examp
les of\nreduced Hamiltonian phase spaces in physics as well as singular pr
ojective\nalgebraic varieties in mathematics. We give a unified and geomet
ric\ndefinition for these objects\, and prove a singular variant of the\nG
romov-Tischler theorem: such a space with an integral symplectic form can\
nalways be embedded symplectically inside the complex projective space. On
\nthe way we discuss the topology of stratified spaces\, symplectic reduct
ion\nand h-principles. This is joint work with Mahan Mj.\n\nhttps://indico
.tifr.res.in/indico/conferenceDisplay.py?confId=8585
LOCATION: A369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8585
END:VEVENT
BEGIN:VEVENT
SUMMARY:Seshadri stratification and standard monomial theory
DTSTART;VALUE=DATE-TIME:20220927T103000Z
DTEND;VALUE=DATE-TIME:20220927T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8582@cern.ch
DESCRIPTION:Abstract: In this talk we will discuss a preprint of\nChirvi-F
ang-Littelmann `Seshadri stratification and standard monomial\ntheory'. ht
tps://arxiv.org/pdf/2112.03776.pdf\n\nThe theory of Seshadri stratificatio
ns has been developed by\nLittelmann-Chirvi-Fang with the intention to bui
ld up a new geometric\napproach towards a standard monomial theory for emb
edded projective\nvarieties with certain nice properties. The authors show
that the Seshadri\nstratification provides a geometric setup for a standa
rd monomial theory.\nIn their framework\, Lakshmibai-Seshadri paths for Sc
hubert varieties get a\ngeometric interpretation as successive vanishing o
rders of regular\nfunctions.\n\nhttps://indico.tifr.res.in/indico/conferen
ceDisplay.py?confId=8582
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8582
END:VEVENT
BEGIN:VEVENT
SUMMARY:Min-max construction of minimal hypersurfaces
DTSTART;VALUE=DATE-TIME:20221003T110000Z
DTEND;VALUE=DATE-TIME:20221003T120000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8590@cern.ch
DESCRIPTION:Abstract: In the 1960s\, Almgren developed a min-max theory to
construct\nclosed minimal submanifolds in an arbitrary closed Riemannian
manifold. The\nregularity theory in the co-dimension 1 case was further de
veloped by Pitts\nand Schoen-Simon. In particular\, by the combined works
of Almgren\, Pitts\nand Schoen-Simon\, in every closed Riemannian manifold
M^n\, n \\geq 3\, there\nexists at least one closed\, minimal hypersurfac
e. Recently\, the\nAlmgren-Pitts min-max theory has been further developed
to show that\nminimal hypersurfaces exist in abundance.\n\nIn addition to
the Almgren-Pitts min-max theory\, there is an alternative\nPDE based app
roach for the min-max construction of minimal hypersurfaces.\nThis approac
h was introduced by Guaraco and further developed by Gaspar and\nGuaraco.
It is based on the study of the limiting behaviour of solutions to\nthe Al
len-Cahn equation. In my talk\, I will briefly describe the\nAlmgren-Pitts
min-max theory and the Allen-Cahn min-max theory and discuss\nthe questio
n to what extent these two theories agree.\n\nhttps://indico.tifr.res.in/i
ndico/conferenceDisplay.py?confId=8590
LOCATION: Math. Seminar Room (A-369)
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8590
END:VEVENT
BEGIN:VEVENT
SUMMARY:The covering volume of lattices\, and nearly uniform coverings (1/
3)
DTSTART;VALUE=DATE-TIME:20221018T043000Z
DTEND;VALUE=DATE-TIME:20221018T053000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8606@cern.ch
DESCRIPTION:Dear all\,\n\nProfessor Barak Weiss from Tel Aviv University w
ill give a series of three\nlectures. The details are below.\n\n
Time and Venue\n\nLecture 1: 10:00 am to 11:00 am October
18\, AG–66\nLecture 2: 4:00 pm to 5:00 pm October 19\, AG–69\nLectur
e 3: 4:00 pm to 5:00 pm October 21\, AG–77\n\n\nTitle: The covering vo
lume of lattices\, and nearly uniform coverings\n\nAbstract: Let L in R^n
be a lattice and let K be a convex body. The\ncovering volume of K w.r.t.
L is the minimal volume of a dilate rK such\nthat L+rK = R^n\, normalized
by the covolume of L. Pairs (L\,K) with small\ncovering volume correspond
to efficient coverings of space by copies of K\,\ntranslated by elements o
f L. Finding upper bounds on the covering volume\nas the dimension n goes
to infinity\, is a well-studied problem\, with\nconnections to practical i
ssues arising in computer science and electrical\nengineering. In a recent
paper with Ordentlich (EE\, Hebrew U) and Regev\n(CS\, NYU)\, we obtain s
ubstantial improvements to bounds of Rogers from the\n1950’s. In another
recent paper\, we obtain bounds on the minimal volume of\nnearly uniform
covers\, where a pair (L\, K) give an epsilon-nearly uniform\ncover if the
ratio between max_x |{l in L : x in l+K}| and min_y |{l in L\n: y in l+K}
| is at most 1+epsilon. The key to these results are recent\nbreakthroughs
due to Dvir and others regarding the discrete Kakeya\nproblem. I will giv
e three lectures about these results\, including\nhistory\, applications\,
and some ideas of the proofs. No prerequisites\nbeyond undergraduate mate
rial (measures\, volumes\, vector spaces over\nfinite fields) will be assu
med.\n\n-----------------------------------------------------\n\nYouTube l
ive link:\n\n18-10-2022 --> https://youtu.be/029xTLyiNbw\n\n19-10-2022 -->
https://youtu.be/jW3ZTdpQPl4\n\n21-10-2022 --> https://youtu.be/iwQAOaM5M
bw\n\n------------------------------------------------------\n\nTifrmum_ v
c5 is inviting you to a scheduled Zoom meeting.\n\nTopic: The Infosys Chan
drasekharan Random Geometry Lecture Series\n\nJoin Zoom Meeting\nhttps://t
ifr-res-in.zoom.us/j/92151898634\n\nMeeting ID: 921 5189 8634\nPasscode: 3
61136\n\n---------------------------------------------------------\n\nhttp
s://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8606
LOCATION: AG-66\,AG-69\,AG77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8606
END:VEVENT
BEGIN:VEVENT
SUMMARY:Singular Principal Bundles
DTSTART;VALUE=DATE-TIME:20221018T103000Z
DTEND;VALUE=DATE-TIME:20221018T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8615@cern.ch
DESCRIPTION:Abstract: The talk will be based on the article "Singular Prin
cipal\nBundles on Reducible Curves" by Angel Luis Munoz Castaneda and Alex
ander\nSchmitt (https://mathscinet.ams.org/mathscinet-getitem?mr=4337924).
\n\nSingular principal bundles on smooth projective manifolds were introdu
ced\nby A. Schmitt in 2002 and were extended to a wide class of singular\n
varieties by U.N. Bhosle.\n\nThe results of the paper together with the pr
evious works of the authors\nprove the existence of a universal moduli spa
ce (of semistable singular\nprincipal bundles) over the moduli space of st
able curves thus providing\nan analogous moduli space to the one obtained
by R. Pandharipande for\nvector bundles.\n\nIn an earlier work\, A. Castan
eda had reduced the construction of this\nuniversal moduli space to the co
nstruction of the moduli space of swamps.\nI will briefly outline their me
thods.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=86
15
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8615
END:VEVENT
BEGIN:VEVENT
SUMMARY:The covering volume of lattices\, and nearly uniform coverings (2/
3)
DTSTART;VALUE=DATE-TIME:20221019T103000Z
DTEND;VALUE=DATE-TIME:20221019T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8607@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
8607
LOCATION: AG-66\,AG-69\,AG77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8607
END:VEVENT
BEGIN:VEVENT
SUMMARY:The covering volume of lattices\, and nearly uniform coverings (3/
3)
DTSTART;VALUE=DATE-TIME:20221021T103000Z
DTEND;VALUE=DATE-TIME:20221021T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8608@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
8608
LOCATION: AG-66\,AG-69\,AG77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8608
END:VEVENT
BEGIN:VEVENT
SUMMARY:Real forms of some Gizatullin surfaces and Koras-Russell threefold
s
DTSTART;VALUE=DATE-TIME:20221101T103000Z
DTEND;VALUE=DATE-TIME:20221101T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8630@cern.ch
DESCRIPTION:Abstract: This talk will be based on a preprint of Jérémy Bl
anc\, Ana Bot\nand Pierre-Marie Poloni. https://doi.org/10.48550/arXiv.210
8.12389\n\nGiven a complex algebraic variety $X$\, a real form of $X$ is a
real\nalgebraic variety whose complexification is isomorphic to $X$. In t
his\ntalk\, we shall discuss the isomorphism class of real forms of Gizatu
llin\nsurfaces of a specific kind and of Koras-Russell threefolds of the f
irst\nkind.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?conf
Id=8630
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8630
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander polynomial of the mapping torus of a graph map
DTSTART;VALUE=DATE-TIME:20221114T110000Z
DTEND;VALUE=DATE-TIME:20221114T120000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8654@cern.ch
DESCRIPTION:Abstract: Alexander polynomial was originally defined as a too
l to\ndifferentiate knots. Later\, its definition was extended to any fini
tely\npresented group. In this talk I will define the polynomial. Then I w
ill\nexplain\, with the help of an example\, how to obtain a determinant f
ormula\nfor the Alexander polynomial of the fundamental group of the mappi
ng torus\nof a graph map. Joint with Spencer Dowdall and Sam Taylor.\n\nht
tps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8654
LOCATION:
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8654
END:VEVENT
BEGIN:VEVENT
SUMMARY:On Inversion of Adjunction.
DTSTART;VALUE=DATE-TIME:20221115T103000Z
DTEND;VALUE=DATE-TIME:20221115T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8653@cern.ch
DESCRIPTION:Abstract: Adjunction is well known for irreducible smooth divi
sor of\nsmooth variety. In MMP\, inversion of adjunction is a very useful
technique\nto use inductive arguments and extract information about singul
arities of actual variety from singularity of smaller dimensional sub-vari
eties. In the\npaper going by similar name\, by Fujino and Hashizume\, the
y have proved\ninversion of adjunction for arbitrary dimensional log canon
ical center of\nany pair $(X\,\\Delta)$. I will present the outline of the
proof.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8
653
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8653
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pro-étale uniformisation of abelian varieties.
DTSTART;VALUE=DATE-TIME:20221122T103000Z
DTEND;VALUE=DATE-TIME:20221122T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8676@cern.ch
DESCRIPTION:Abstract: Any complex g-dimensional abelian variety admits a u
niformisation in terms of its topological universal cover (which is C^{g})
and a lattice. From the work of Raynaud\, Bosch\, Lütkebohmert we know t
hat for non-archimedean case there exist a 'uniformization' of abelian var
ieties\, in rigid analytic category in terms of a semi-abelian rigid space
and and a discrete lattice. While in the complex uniformization\, the uni
versal cover was isomorphic for all g-dimensional abelian varieties\, the
rigid analytic uniformization is not even locally constant (i.e. in the mo
duli space of abelian varieties). In the category of diamonds introduced b
y P.Scholze\, there exists a new kind of "pro-étale uniformization" in te
rms of the perfectoid tilde limit and the p-adic Tate module of the abelia
n variety\, which remains locally constant.\nThe talk is based on https://
arxiv.org/pdf/2105.12604.pdf by Ben Heuer\, where the above result is prov
ed. I shall try to explain the main idea and techniques of the proof.\n\nh
ttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8676
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8676
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adjoint L-value formula and its relation to the Tate conjecture.
DTSTART;VALUE=DATE-TIME:20221123T083000Z
DTEND;VALUE=DATE-TIME:20221123T093000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8672@cern.ch
DESCRIPTION:Abstract: For a Hecke eigenform $f$\, we state an adjoint L-va
lue formula\nrelative to each quaternion algebra $D$ over ${\\mathbb Q}$ w
ith\ndiscriminant $\\partial$ and reduced norm $N$. A key to prove the for
mula\nis the theta correspondence for the quadratic ${\\mathbb Q}$-space $
(D\,N)$.\nUnder the $R={\\mathbb T}$-theorem\, $p$-part of the Bloch-Kato
conjecture\nis known\; so\, the formula is an adjoint Selmer class number
formula. We\nalso describe how to relate the formula to a consequence of t
he Tate\nconjecture for quaternionic Shimura varieties.\n\nhttps://indico.
tifr.res.in/indico/conferenceDisplay.py?confId=8672
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8672
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bruhat-Tits theory over a smooth higher dimensional base
DTSTART;VALUE=DATE-TIME:20221123T053000Z
DTEND;VALUE=DATE-TIME:20221123T063000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8674@cern.ch
DESCRIPTION:Abstract: We report on a joint work with Vikraman Balaji. It a
ddresses the\nfollowing question:\n\nLet $G$ be an almost simple\, split\,
simply connected Chevalley group\nscheme over $\\mathbb{Z}$. Let $\\mathb
b{A}^\\circ$ denote the complement of\nthe "axes" in $\\mathbb{A}^n_{_k}$\
, and let $U$ be its union with $Spec$ of\nDVRs which are the local rings
at the generic points of the axes in\n$\\mathbb{A}^n_{_k}$. Given BT group
schemes adapted to the axis divisors\nof $\\mathbb{A}^n_{_k}$\, using the
identity function\, we glue them with $G\n\\times \\mathbb{A}^\\circ$ to
get a group scheme on $U$. Does it extend to\nthe whole space $\\mathbb{A}
^n_{_k}$?\n\n-------------------------------------------------------------
-\n\nTifrmum_ vc5 is inviting you to a scheduled Zoom meeting.\n\nTopic: Z
oom Meeting\nTime: Nov 23\, 2022 11:00 AM India\n\nJoin Zoom Meeting\nhttp
s://tifr-res-in.zoom.us/j/96739881237\n\nMeeting ID: 967 3988 1237\nPassco
de: 190085\n\n------------------------------------------------------------
----\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8674
LOCATION: Via Zoom
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8674
END:VEVENT
BEGIN:VEVENT
SUMMARY:Local p-indecomposability of modular p-adic Galois representations
.
DTSTART;VALUE=DATE-TIME:20221125T083000Z
DTEND;VALUE=DATE-TIME:20221125T093000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8673@cern.ch
DESCRIPTION:Abstract: A conjecture by R. Greenberg asserts that a modular\
n2-dimensional $p$-adic Galois representation of a cusp form of weight\nla
rger than or equal to 2 is indecomposable over the $p$-inertia group\nunle
ss it is induced from an imaginary quadratic field. I start with a\nsurvey
of the known results and try to reach a brief description of new\ncases o
f indecomposability.\n\nhttps://indico.tifr.res.in/indico/conferenceDispla
y.py?confId=8673
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8673
END:VEVENT
BEGIN:VEVENT
SUMMARY:Iwasawa theory of classical and derived deformation rings
DTSTART;VALUE=DATE-TIME:20221128T060000Z
DTEND;VALUE=DATE-TIME:20221128T070000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8671@cern.ch
DESCRIPTION:Abstract: In a joint work with E. Urban\, we study Iwasawa-the
oretic derived\ndeformation rings of the Galois representation associated
to a\ncohomological cuspidal automorphic representation on a reductive gro
up. We\nproceed axiomatically\, assuming some conjectures (several of them
are\nproven for GL(N) over a CM field). In the classical case\, we genera
lize a\nrecent result by Burungale-Clozel.\n\nhttps://indico.tifr.res.in/i
ndico/conferenceDisplay.py?confId=8671
LOCATION:
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8671
END:VEVENT
BEGIN:VEVENT
SUMMARY:An ergodic approach towards an equidistribution result of Ferrero
–Washington
DTSTART;VALUE=DATE-TIME:20221128T110000Z
DTEND;VALUE=DATE-TIME:20221128T120000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8699@cern.ch
DESCRIPTION:Abstract: An important ingredient in the Ferrero--Washington p
roof of the\nvanishing of cyclotomic \\mu-invariant for Kubota--Leopoldt p
-adic\nL-functions is an equidistribution result which they established us
ing the\nWeyl criterion. In joint work with Jungwon Lee\, we provide an al
ternative\nproof by adopting a dynamical approach. We study an ergodic ske
w-product\nmap on \\Z_p * [0\,1]\, which is then suitably identified as a
factor of the\n2-sided Bernoulli shift on the alphabet space {0\,1\,2\,…
\,p-1}.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8
699
LOCATION: A369
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8699
END:VEVENT
BEGIN:VEVENT
SUMMARY:Suslin's Cancellation Conjecture in the Smooth Case
DTSTART;VALUE=DATE-TIME:20221129T103000Z
DTEND;VALUE=DATE-TIME:20221129T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8694@cern.ch
DESCRIPTION:Abstract: For a smooth affine algebra of dimension $d$ over an
\nalgebraically closed field $k$ with $d!\\in k^{\\times}$\, it is known t
hat\nstably isomorphic projective modules of rank at least $d$ are isomorp
hic.\nAlso\, this is known not to be true in general when the modules have
rank\nless than $d-1$.\n\nIn this paper (https://arxiv.org/abs/2111.13088
) by Fasel\, the above is\nextended to modules of rank $d-1$ using the \\m
athbb{A}^1-$homotopy theory.\n\nhttps://indico.tifr.res.in/indico/conferen
ceDisplay.py?confId=8694
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8694
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bruhat-Tits theory: a new approach
DTSTART;VALUE=DATE-TIME:20221202T090000Z
DTEND;VALUE=DATE-TIME:20221202T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8705@cern.ch
DESCRIPTION:Abstract: Bruhat-Tits theory associates to a connected reducti
ve group over a nonarchimedean local field (or over a field belonging to a
somewhat more general class) an affine building\, and various associated
structures such as parahoric group schemes\, Moy-Prasad filtrations etc. W
hile it has proved to be of central importance in harmonic analysis and re
presentation theory of $p$-adic groups\, it has also found significant app
lications to diverse other areas such as arithmetic groups\, fake projecti
ve planes etc. In this talk\, we describe a new approach to Bruhat-Tits t
heory of reductive groups over a discretely valued field $k$ with Henselia
n valuation ring\, which appears to be conceptually simpler\, and more geo
metric\, than the original approach of Bruhat and Tits.\n\nhttps://indico.
tifr.res.in/indico/conferenceDisplay.py?confId=8705
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8705
END:VEVENT
BEGIN:VEVENT
SUMMARY:Berger conjecture\, valuations and torsions
DTSTART;VALUE=DATE-TIME:20221212T103000Z
DTEND;VALUE=DATE-TIME:20221212T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8708@cern.ch
DESCRIPTION:Abstract: Let $(R\,\\m_R\,\\k)$ be a one-dimensional complete
local reduced\n$\\k$-algebra over a field of characteristic zero. Berger c
onjectured that\n$R$ is regular if and only if the universally finite modu
le of\ndifferentials $\\Omega_R$ is torsion free. We discuss methods that
have been\nused in the past to prove cases where the conjecture holds. Wh
en $R$ is a\ndomain\, we prove the conjecture in several cases. Our techni
ques are\nprimarily reliant on making use of the valuation semi-group of $
R$. First\,\nwe establish a method of verifying the conjecture by analyzin
g the\nvaluation semi-group of $R$ and orders of units of the integral clo
sure of\n$R$. We also prove the conjecture in the case when certain monomi
als are\nmissing from the monomial support of the defining ideal of $R$. T
his also\ngeneralizes previous known results. This is joint work with Cra
ig Huneke\nand Sarasij Maitra.\n\nhttps://indico.tifr.res.in/indico/confer
enceDisplay.py?confId=8708
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8708
END:VEVENT
BEGIN:VEVENT
SUMMARY:The F-signature function of a globally F-regular variety.
DTSTART;VALUE=DATE-TIME:20221223T103000Z
DTEND;VALUE=DATE-TIME:20221223T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8726@cern.ch
DESCRIPTION:Abstract: Strongly F-regular local rings are an important clas
s of mild\nsingularities in positive characteristics\, analogous to Kawama
ta log\nterminal (klt) singularities. The F-signature of a strongly F-regu
lar local\nring R is an interesting invariant of its singularities. In thi
s talk\, we\nwill discuss this invariant when R is the section ring of a p
rojective\nvariety with respect to an ample divisor. In particular\, we st
udy how the\nF-signature varies as we vary the ample divisor. For this pur
pose\, we will\nintroduce the F-signature function\, a real valued functio
n on the ample\ncone of X\, and discuss its continuity properties. This fu
nction is\nanalogous to the well-known volume function of big divisors. Th
is is joint\nwork with Seungsu Lee.\n\nhttps://indico.tifr.res.in/indico/c
onferenceDisplay.py?confId=8726
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8726
END:VEVENT
BEGIN:VEVENT
SUMMARY:Modular forms of weight one\, motivic cohomology and the Jacquet-L
anglands correspondence
DTSTART;VALUE=DATE-TIME:20221227T103000Z
DTEND;VALUE=DATE-TIME:20221227T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8729@cern.ch
DESCRIPTION:Abstract: I will discuss some joint work (in progress) with Ic
hino. In\nprevious work\, we showed that the Jacquet-Langlands corresponde
nce for\ncohomological Hilbert modular forms preserves rational Hodge stru
ctures\,\nas predicted by the Tate conjecture. In this talk\, I will discu
ss a related\nresult in the case of weight one forms\, which are non-cohom
ological. In\nthis case\, the Tate conjecture does not apply and thus it i
s not obvious\nwhat the content of such a result should be. I will motivat
e and explain\nthe statement\, which is suggested by another recent develo
pment\, namely\nthe conjectural connection between motivic cohomology and
the cohomology of\nlocally symmetric spaces.\n\nhttps://indico.tifr.res.in
/indico/conferenceDisplay.py?confId=8729
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8729
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reducibility and rational torsion in elliptic curves
DTSTART;VALUE=DATE-TIME:20230104T090000Z
DTEND;VALUE=DATE-TIME:20230104T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8745@cern.ch
DESCRIPTION:Abstract : Let $A$ be an optimal elliptic curve over $\\mathbb
{Q}$ and let $N$ denote its conductor. Suppose $N$ is square-free and $r$
is a prime such that $r$ does not divide $6N$. We show that if $A[r]$ is r
educible\, then $A$ has a rational $r$-torsion point. We give an applicati
on of this result to the second part of the Birch and Swinnerton-Dyer conj
ecture for $A$.\n\nThis is joint work with Matthew Winters.\n\nhttps://ind
ico.tifr.res.in/indico/conferenceDisplay.py?confId=8745
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8745
END:VEVENT
BEGIN:VEVENT
SUMMARY:Prismatic $F$-gauges
DTSTART;VALUE=DATE-TIME:20230110T103000Z
DTEND;VALUE=DATE-TIME:20230110T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8742@cern.ch
DESCRIPTION:Abstract: Prismatic $F$-gauges are the natural coefficient sys
tems for prismatic cohomology\, analogous to variations\nof Hodge structur
es in classical Hodge theory. In this talk\, I will explain what they are\
, and why understanding them for\n$\\mathrm{Spf}(\\mathbf{Z}_p)$ itself ca
n be useful in both geometry and arithmetic. \n\nIn geometry\, we shall de
scribe Drinfeld's recent proof of (a refinement of) the Deligne--Illusie t
heorem for algebraic de Rham cohomology in characteristic $p$. \n\nIn arit
hmetic\, we shall explain how $F$-gauges yield a meaningful notion of crys
tallinity for integral/torsion representations of the absolute Galois grou
p of $\\mathbf{Q}_p$\; the cohomology of $F$-gauges then gives an analog o
f the local Bloch--Kato Selmer groups for such representations with favora
ble properties (e.g.\, it interacts quite well with (a refinement of) the
local Tate duality theorem).\n\nThis is joint work in progress with Jacob
Lurie\, building on work of Drinfeld.\n\nhttps://indico.tifr.res.in/indico
/conferenceDisplay.py?confId=8742
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8742
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the Wiles--Lenstra--Diamond numerical criterion for freeness of
modules over complete intersections
DTSTART;VALUE=DATE-TIME:20230111T090000Z
DTEND;VALUE=DATE-TIME:20230111T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8744@cern.ch
DESCRIPTION:Abstract: I will talk about recent work with Srikanth Iyengar
and Jeff Manning on a higher codimension version of the Wiles--Lenstra--Di
amond numerical criterion (the original version is in codimension $0$). T
he original version played a key role in Wiles’s work on the modularit
y of semistable elliptic curves over the rationals.\n\nI will sketch some
(conditional) applications of the commutative algebra we develop to provi
ng integral $R=T$ theorems in positive defect (as arise when considering $
2$-dimensional Galois representations over imaginary quadratic fields\, a
defect one situation)\, and other questions/perspectives the work leads t
o. There is an unconditional application to proving an analog of the Jac
quet--Langlands correspondence for Hecke algebras acting on the cohomology
of Shimura curves with coefficients in weight one sheaves. As these Heck
e algebras typically have a lot of torsion\, such results cannot be deduce
d from the classical Jacquet--Langlands correspondence for classical weig
ht one forms.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?co
nfId=8744
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8744
END:VEVENT
BEGIN:VEVENT
SUMMARY:Newton-Okounkov bodies and Picard numbers on surfaces
DTSTART;VALUE=DATE-TIME:20230111T103000Z
DTEND;VALUE=DATE-TIME:20230111T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8754@cern.ch
DESCRIPTION:Abstract: In this talk\, we will discuss a preprint of\nFerná
ndez-Nickel-Roé 'Newton-Okounkov bodies and Picard numbers on surfaces'\
nhttps://arxiv.org/pdf/2101.05338v1.pdf\n\nNewton–Okounkov bodies were i
ntroduced by A. Okounkov as a tool in\nrepresentation theory\; later Kaveh
-Khovanskii and Lazarsfeld-Mustata\ndeveloped a general theory with applic
ations to both convex and algebraic\ngeometry. In this preprint\, the auth
ors study the shapes of all\nNewton-Okounkov bodies of a given big divisor
on a surface S with respect\nto all rank 2 valuations of K(S). They obtai
n upper bounds for\, and in\nmany cases determine exactly\, the possible n
umbers of vertices of these\nbodies. The upper bounds are expressed in ter
ms of Picard numbers. They\nalso conjecture that the set of all Newton-Oko
unkov bodies of a single\nample divisor determines the Picard number of S\
, and proves that this is\nthe case for Picard number 1\, by an explicit c
haracterization of surfaces\nof Picard number 1 in terms of Newton-Okounko
v bodies.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId
=8754
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8754
END:VEVENT
BEGIN:VEVENT
SUMMARY:Geometric local systems on generic curves
DTSTART;VALUE=DATE-TIME:20230125T103000Z
DTEND;VALUE=DATE-TIME:20230125T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8780@cern.ch
DESCRIPTION:Abstract: The talk will be based on parts of the preprint enti
tled\n``Geometric local systems on very general curves and isomonodromy''
by\nAaron Landesman and Daniel Litt (arXiv:2022.00039).\n\nA complex local
system $L$ on a smooth projective curve $X$ over\n$\\mathbb{C}$ is said t
o be ``geometric'' if there exists a smooth\nprojective morphism $f:X \\to
U$\, with $U$ a nonempty Zariski open subset\nof $X$\, and an integer $i$
such that $L|_U$ is a direct summand of $R^i\nf_* \\mathbb{C}_X$.\nThe ma
in result that we will discuss says that if the rank of $L$ is small\ncomp
ared to the genus of $X$\, then the monodromy representation associated\nt
o $L$ must have finite image\; this leads to counterexamples to\nconjectur
es of Budur--Wang and Esnault--Kerz.The proof uses methods from the\ntheor
y of variations of Hodge structure.\n\nhttps://indico.tifr.res.in/indico/c
onferenceDisplay.py?confId=8780
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8780
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vanishing cohomology and Betti bounds for complex projective hyper
surfaces
DTSTART;VALUE=DATE-TIME:20230201T103000Z
DTEND;VALUE=DATE-TIME:20230201T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8786@cern.ch
DESCRIPTION:Abstract: Let V be a (possibly singular) hypersurface in $P^n(
C)$. In this\ntalk we define the Deligne vanishing cycle complex. We prove
a vanishing\nresult for the hypercohomlogy of the Deligne vanishing cycle
complex\, and\nuse it to derive various results about singular cohomology
of V.\n\nThis is work of Laurentiu Maxim\, Laurentiu Paunescu\, and Mihai
Tibar. The\npreprint can be found at https://arxiv.org/pdf/2004.07686.pdf
\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8786
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8786
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reconstructing a variety from the Zariski topological space
DTSTART;VALUE=DATE-TIME:20230208T103000Z
DTEND;VALUE=DATE-TIME:20230208T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8799@cern.ch
DESCRIPTION:Abstract: The talk will give an introduction to results of Kol
lar\, based\non earlier work of Lieblich and Olsson\, showing that the und
erlying\nZariski topological space of a variety determines the variety\, u
nder suitable hypotheses. I will try to state results in some generality\,
and sketch proofs under some extra simplifying hypotheses\, which will ho
wever show the main new features.\n\nReferences include arxiv preprints of
Kollar and others\, and also a\nSeminaire Bourbaki presentation of Cesnav
icius from April\, 2021.\n\nhttps://indico.tifr.res.in/indico/conferenceDi
splay.py?confId=8799
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8799
END:VEVENT
BEGIN:VEVENT
SUMMARY:Random lattices and their applications in number theory\, geometry
and statistical mechanics (1/3)
DTSTART;VALUE=DATE-TIME:20230222T103000Z
DTEND;VALUE=DATE-TIME:20230222T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8816@cern.ch
DESCRIPTION:Abstract: Lattices are fundamental objects in physics\, mathem
atics and computer science. Starting from a cubic lattice\, say\, we can p
erturb the structure by linear transformations (shearing\, stretching\, ro
tating) to obtain new lattices. In this series of lectures\, I will discus
s the resulting "space of lattices"\, the dynamics of group actions on thi
s space\, natural probability measures\, as well as some powerful applicat
ions to long-standing problems in various areas of mathematics and mathema
tical physics.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?c
onfId=8816
LOCATION: AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8816
END:VEVENT
BEGIN:VEVENT
SUMMARY:Finite generation of certain valuation semigroups on toric surface
s
DTSTART;VALUE=DATE-TIME:20230222T103000Z
DTEND;VALUE=DATE-TIME:20230222T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8819@cern.ch
DESCRIPTION:Abstract: In this talk\, we will discuss a preprint of Klaus A
ltmann\,\nChristian Haase\, Alex Kuronya\, Karin Schaller\, and Lena Walte
r\, available\nat https://arxiv.org/abs/2209.06044.\n\nFinite generation o
f semigroups or rings arising from geometric\nsituations has been a questi
on of interest for a long time. In this\npreprint\, the authors consider v
aluation semigroups arising from\nNewton-Okounkov theory in the special ca
se of toric surfaces. They provide\na combinatorial criterion for the fini
te generation of a valuation\nsemigroup associated with an ample divisor o
n a smooth toric surface and a\nnon-toric valuation of maximal rank.\n\nht
tps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8819
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8819
END:VEVENT
BEGIN:VEVENT
SUMMARY:Random lattices and their applications in number theory\, geometry
and statistical mechanics (2/3)
DTSTART;VALUE=DATE-TIME:20230223T103000Z
DTEND;VALUE=DATE-TIME:20230223T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8817@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
8817
LOCATION: AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8817
END:VEVENT
BEGIN:VEVENT
SUMMARY:Random lattices and their applications in number theory\, geometry
and statistical mechanics (3/3)
DTSTART;VALUE=DATE-TIME:20230224T103000Z
DTEND;VALUE=DATE-TIME:20230224T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8818@cern.ch
DESCRIPTION:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=
8818
LOCATION: AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8818
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Kawaguchi-Silverman conjecture for endomorphisms on affine sur
faces.
DTSTART;VALUE=DATE-TIME:20230308T103000Z
DTEND;VALUE=DATE-TIME:20230308T113000Z
DTSTAMP;VALUE=DATE-TIME:20230329T092731Z
UID:indico-event-8836@cern.ch
DESCRIPTION:Abstract: This talk is based on the preprint\nhttps://arxiv.or
g/pdf/2104.05339.pdf by J. Jia\, T. Shibata\, J. Xie\, and\nD.-Q. Zhang.\n
\nFor a quasi-projective variety $X$ and a finite surjective endomorphism\
n$f:X \\longrightarrow X$ defined over $\\overline{\\mathbb{Q}}$\, the\nKa
waguchi-Silverman conjecture (KSC) is a conjecture predicting the\ncoincid
ence of the first dynamical degree $d_1(f)$ of $f$ and arithmetic\ndegree
$\\alpha_f(P)$ at a point $P \\in X$ having Zariski dense $f$-orbit.\nThis
conjecture is verified for certain algebraic varieties\, but the case\nof
an open algebraic variety is hardly verified. Assuming $X$ is a smooth\na
ffine surface such that the logarithmic Kodaira dimension of $X$ is\nnon-n
egative\, the authors confirm KSC (when $\\deg(f) \\geq 2$) in this\nprepr
int\, which I will present in this talk.\n\nhttps://indico.tifr.res.in/ind
ico/conferenceDisplay.py?confId=8836
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8836
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