School of Mathematics Colloquium
Tian-Todorov theorem for varieties with potentials
by Prof. Tony Pantev (University of Pennsylvania, USA)
Wednesday, May 14, 2014
from
to
(Asia/Kolkata)
at Colaba Campus ( AG-77 )
at Colaba Campus ( AG-77 )
Description |
I will report on a recent joint work with L. Katzarkov and M. Kontsevich on the deformation theory of varieties equipped with holomorphic functions. I will discuss various generalizations of the unobstructedness theorem for deformations of compact Calabi-Yau manifolds. In particular I will explain a Tian-Todorov theorem for the deformations of Landau-Ginzburg models and will explain the new Hodge theoretic statements needed in the proof. I will also discuss the various definitions of Hodge numbers for non-commutative Hodge structures of Landau-Ginzburg type and the role they play in mirror symmetry. |