Numerical characterization of complex tori

Benoit Claudon (Université de Rennes 1)

17-May-2022, 10:00-11:00 (23 months ago)

Abstract: In this talk I will explain how to recognize complex tori among Kahler klt spaces (smooth in codimension 2) in terms of vanishing of Chern numbers. It requires first to define Chern classes on singular spaces (a rather unstable notion). On the way, we will establish a singular version of the Bogomolov--Gieseker inequality for stable sheaves and study what can be said in the equality case. Joint work with Patrick Graf and Henri Guenancia.

algebraic geometry

Audience: researchers in the topic


ZAG (Zoom Algebraic Geometry) seminar

Series comments: Description: ZAG seminar

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Organizers: Jesus Martinez Garcia*, Ivan Cheltsov*, Jungkai Chen, Jérémy Blanc, Ernesto Lupercio, Yuji Odaka, Zsolt Patakfalvi, Julius Ross, Cristiano Spotti, Chenyang Xu
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