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Number Theory Seminar

Thursday, October 27, 2022
4:00pm to 5:00pm
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Linde Hall 387
Geometry of the $B_{dR}^+$-Grassmannian
Serin Hong, Department of Mathematics, University of Michigan,

The classical affine Grassmannian plays a pivotal role in geometric representation theory and the geometric Langlands program. Its p-adic analogue, known as the $B_{dR}^+$-Grassmannian, similarly plays a crucial role in the geometrization of the local Langlands correspondence by Fargues-Scholze, and also provides a way to study the cohomology of Shimura varieties. In this talk, we first give a brief overview on this object, then present our recent result towards understanding its geometry in terms of a natural stratification called the Newton stratification.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].