Supersingular loci of some unitary Shimura varieties

Abstract: Unitary Shimura varieties are moduli spaces of abelian varieties with an action of a quadratic imaginary field, and extra structure. In this talk, we'll discuss specific examples of unitary Shimura varieties whose supersingular loci can be concretely described in terms of Deligne-Lusztig varieties. By Rapoport-Zink uniformization, much of the structure of these supersingular loci can be understood by studying an associated moduli space of p-divisible groups (a Rapoport-Zink space). We'll discuss the geometric structure of these associated Rapoport-Zink spaces as well as some techniques for studying them.

**Note from the organizers: Starting on March 4, the seminar will be moving one hour earlier, to 11:00 Boston / 17:00 Paris. This change does not apply to the talk on March 11, which is still at 12:00 Boston / 18:00 Paris. We apologize for any inconvenience.**

commutative algebraalgebraic geometrynumber theory

Audience: researchers in the topic

Recent Advances in Modern p-Adic Geometry (RAMpAGe)

Series comments: The Zoom Meeting ID is: 995 3670 1681. The password for the series is: *The first three-digit prime*. Please visit the external homepage for notes and videos from past talks.