Thursday, April 18, 2019
4:00 PM -
6:00 PM
Linde Hall 387
Number Theory Seminar
Series: Number Theory Seminar Series
On the geometry of the Hodge-Tate period morphism
In this talk, I will describe joint work with Peter Scholze on the geometry of the Hodge-Tate period morphism for perfectoid Shimura varieties. This relies on an infinite-level version of the Mantovan product formula that relates Rapoport-Zink spaces, Igusa varieties, and Shimura varieties. I will explain how to extend this result to the boundary of minimal and toroidal compactifications and mention applications to the cohomology of Shimura varieties and beyond.
Event Sponsors:
For more information, please contact Math Dept. by phone at 626-395-4334 or by email at [email protected].