Seminar: Galois representations arising from hyper-Kähler varieties

Seminar| Institute of Mathematical Sciences

Time:Tuesday, August 12th, 2025,14:00-16:00

Abstract: Hyper-Kähler varieties, closely related to abelian varieties and K3 surfaces, have attracted increasing attention in both algebraic and arithmetic geometry in recent years. In this talk, I will survey some notable features of the Galois representations associated with hyper-Kähler varieties. I will also present an arithmetic analogue of Nagai’s conjecture for hyper-Kähler varieties, based on joint work with Kazuhiro Ito, Tetsushi Ito, Teruhisa Koshikawa, and Teppei Takamatsu.