POSTECH-PMI & BK 21 FOUR NUMBER THEORY SEMINAR

• Speaker : Serin Hong (University of Michigan, USA)
• Time : 2022.07. 28 (Thu) 14:00 ~ 15:30
• Venue : Math Bldg.  104

Title: Geometry of the $B_{dR}^+$-Grassmannian

Abstract: 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, and also provides a way to study the cohomology of Shimura varieties. In this talk, we give a brief overview on this object and present a recent progress towards understanding its geometry.