Mathematics on the Crossroad of Centuries - A Conference in Honor of Maxim Kontsevich's 60th Birthday

Collection Mathematics on the Crossroad of Centuries - A Conference in Honor of Maxim Kontsevich's 60th Birthday

Organizer(s) Denis Auroux, Ludmil Katzarkov, Tony Pantev, Yan Soibelman
Date(s) 16/09/2024 - 20/09/2024
linked URL https://indico.math.cnrs.fr/event/11957/
00:00:00 / 00:00:00
7 21

Birational and Singularity Invariants from nc Hodge Theory

By Tony Pantev

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 the Lüroth rationality problem and singularity theory. This is a joint work with L.Katzarkov, M.Kontsevich, and T.Y.Yu.

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