Time: 16:00-17:00, Wednesday, March 12  

Title: Unitary Shimura varieties at ramified primes

Speaker: Andreas Mihatsch (Zhejiang University)

Abstract: A general problem in the theory of Shimura varieties is to understand the geometry mod p of suitable integral models. The purpose of my talk is to discuss the case of unitary Shimura varieties at places of the CM field that are ramified over Q. My first aim is to explain how the Eisenstein condition can be used to deal with this type of ramification. My second aim is to define an isomorphism between different kinds of local Shimura varieties in this setting. My third aim is to describe some applications to arithmetic intersection problems. This is joint work with Yu Luo and Zhiyu Zhang.