BIMSA > BIMSA Lecture Embeddings of some exceptional Shimura varieties into Siegel modular variety
Embeddings of some exceptional Shimura varieties into Siegel modular variety
Organizers
Amiri Farahnaz , Qijun Yan
Speaker
Ali Partofard
Time
Monday, June 30, 2025 2:00 PM - 3:00 PM
Venue
A6-101
Online
Zoom 928 682 9093 (BIMSA)
Abstract
We define a class of local Shimura varieties that contain some local Shimura varieties for exceptional groups, and for this class, we give a functor from $(G, \mu)$-shtukas to $p$-divisible groups. As an application, we prove that for this class, the local Shimura variety is representable and perfectoid at the infinite level. Considering the global counterpart of this class, we embed some exceptional Shimura varieties into the Siegel variety. In particular, we prove that they are perfectoid at the infinite level.