Birational and singularity invariants from nc Hodge theory
演讲者
Tony Pantev
时间
2024年10月10日 10:00 至 11:00
地点
A6-101
线上
Zoom 638 227 8222
(BIMSA)
摘要
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.