Embeddings of some exceptional Shimura varieties into Siegel modular variety
组织者
法拉纳兹·阿米里
,
闫旗军
演讲者
Ali Partofard
时间
2025年06月30日 14:00 至 15:00
地点
A6-101
线上
Zoom 928 682 9093
(BIMSA)
摘要
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.