BIMSA > BIMSA AG Seminar BIMSA AG Seminar Birational and singularity invariants from nc Hodge theory
Birational and singularity invariants from nc Hodge theory
Organizers
Artan Sheshmani , Nanjun Yang , Beihui Yuan
Speaker
Tony Pantev
Time
Thursday, October 10, 2024 10:00 AM - 11:00 AM
Venue
A6-101
Online
Zoom 638 227 8222 (BIMSA)
Abstract
I will explain how a natural amalgam of classical Hodge theory with the nc Hodge structures arising from Gromov-Witten theory gives rise to new additive invariants of smooth projective varieties called Hodge atoms. Combined with Iritani's blow-up formula, Hodge atoms provide obstructions to birational equivalence and novel invariants of singularities. I will discuss applications to classical rationality problems and singularity theory. This is a joint work with L.Katzarkov, M.Kontsevich, and T.Y.Yu.