Event Series
Event Type
Monday, February 5, 2024 2:30 PM
Mingjia Zhang (IAS + Princeton)

Scholze has conjectured the existence of the so-called Igusa stacks, which have close relation to Shimura varieties. In my thesis and the joint work in progress with Daniels, van Hoften and Kim, these conjectural stacks are constructed for many interesting classes of Shimura varieties. In this talk, we discuss the possibility of formulating a form of local-global compatibility in this context, following the ideas of Scholze, Caraiani, and their joint works. This is based on discussions with Caraiani.