BIMSA > BIMSA-YMSC Tsinghua Number Theory Seminar On exotic Hecke correspondences
On exotic Hecke correspondences
Organizers
Hansheng Diao , Yueke Hu , Emmanuel Lecouturier , Cezar Lupu
Speaker
Pol van Hoften
Time
Monday, January 15, 2024 10:00 AM - 11:00 AM
Venue
Shuangqing-C654
Abstract
The goal of this talk is to explain joint work in progress with Jack Sempliner on the construction of "exotic" Hecke correspondences between the mod p fibers of different Shimura varieties of Hodge type. Our work generalizes forthcoming work of Xiao-Zhu; our results cover the new situation where the groups underlying the two different Shimura varieties are allowed to be to be non-isomorphic at p. As a consequence of our main results, we obtain exotic isomorphisms of Igusa varieties in the style of Caraiani-Tamiozzo which lead to geometric incarnations of the Jacquet--Langlands correspondence.