Igusa stacks and the geometry of p-adic Shimura varieties

Abstract: Igusa stacks and the geometry of p-adic Shimura varieties Abstract: Igusa stacks are p-adic geometric objects introduced by Mingjia Zhang that parametrize p-adic uniformizations of Shimura varieties. In a joint work with Daniels, van Hoften, and Zhang, we constructed Igusa stacks for Hodge type Shimura data and explained how it provides a natural bridge between categorical local Langlands and the cohomology of Shimura varieties. I will discuss some geometric input that goes into the construction of Igusa stacks, and if time permits, their cohomological applications.

number theoryrepresentation theory

Audience: researchers in the topic

University of Utah Representation Theory / Number Theory Seminar