Franco-Asian Summer School on Arithmetic Geometry

Collection Franco-Asian Summer School on Arithmetic Geometry

Organizer(s) Ahmed Abbes (CNRS & IHÉS), Ana Caraiani (Imperial College London ), Ariane Mézard (Sorbonne Université), Takeshi Saito (University of Tokyo), Takeshi Tsuji (The University of Tokyo), Daxin Xu (Chinese Academy of Sciences), Weizhe Zheng (Chinese Academy of Sciences).
Date(s) 30/05/2022 - 03/06/2022
linked URL https://www.ihes.fr/~abbes/Luminy/luminy2022.html
00:00:00 / 00:00:00
18 23

Some cases of the Hodge standard conjecture

By Teruhisa Koshikawa

The Hodge standard conjecture remains wide open. The numerical version for abelian fourfolds has been proved recently by Ancona. In this talk, I will first explain a proof of the Hodge standard conjecture for squares of K3 surfaces based on our previous work. In the remaining time, I will discuss related results and application of Ancona's idea. Joint with Kazuhiro Ito and Tetsushi Ito.

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