Cycles on Shimura varieties via Geometric Satake
Time: Mon, 14 Oct 2019, 15:30-17:00
Place: Lecture hall at the 3rd floor, Jinchunyuan West Building
Speaker: Liang Xiao (Peking University)
Abstract:
I will explain a joint work with Xinwen Zhu on constructing algebraic cycles on special fibers of Shimura varieties using geometric Satake theory. The talk will focus on explaining the key construction which upgrades the geometric Satake theory to a functor that relates the category of coherent sheaves on the stack [Gσ / G] to the category of sheaves on local Shtukas with cohomological correspondences as morphisms.