Igusa Stacks and the Cohomology of Shimura Varieties

Abstract: Scholze has conjectured that there should exist an “Igusa stack” which interpolates between the various Igusa varieties associated with a given Shimura variety. In this talk, we will motivate the Igusa stack conjecture and report on recent progress on the conjecture in the Hodge-type case. If time permits, we will discuss some of the (many) consequences of the conjecture for the study of the cohomology of Shimura varieties. Everything we will discuss is from joint work with Pol van Hoften, Dongryul Kim, and Mingjia Zhang.

algebraic geometrynumber theory

Audience: researchers in the topic

( paper )

Boston University Number Theory Seminar