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Number Theory Seminar

Thursday, April 18, 2019
4:00pm to 6:00pm
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Linde Hall 387
On the geometry of the Hodge-Tate period morphism
Ana Caraiani, Department of Mathematics, Imperial College London,

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.

For more information, please contact Math Dept. by phone at 626-395-4334 or by email at [email protected].