School of Mathematics Seminars and Lectures
Geometric invariants and geometric consistency of Manin's conjecture.
by Dr. Akash Kumar Sengupta (Columbia University)
Friday, November 6, 2020
from
to
(Asia/Kolkata)
at Over Zoom
at Over Zoom
Description |
Abstract: Let X be a Fano variety with an associated height function defined over a number field. Manin's conjecture predicts that, after removing a thin set, the asymptotic growth of the number of rational points of bounded height on X is controlled by certain geometric invariants (e.g. the Fujita invariant of X). I will talk about how to use birational geometric methods to study the behaviour of these invariants and propose a geometric description of the thin set in Manin's conjecture. Part of this is joint work with Brian Lehmann and Sho Tanimoto. |