Abstract: 

I will talk about work in progress with Keerthi Madapusi to construct quasi-smooth stacks of p-isogenies with G-structure over Shimura varieties of abelian type at hyperspecial level. These stacks should be thought of as integral Hecke correspondences, and we describe how a geometric formalism associated with such stacks should allow us to realize integral actions of the spherical Hecke algebra.

Time:

15:30-17:00, August 19.