The University of Arizona
Please note that this event has ended!

Newton stratification on the $B_{dR}^+$-Grassmannian

Algebra and Number Theory Seminar

Newton stratification on the $B_{dR}^+$-Grassmannian
Series: Algebra and Number Theory Seminar
Location: ENR2-S395
Presenter: Serin Hong, University of Arizona

The $B_{dR}^+$-Grassmannian is a p-adic (perfectoid) analogue of the classical affine Grassmannian. It plays an important role in the geometrization of the local Langlands program and the study of Shimura varieties. In this talk, we discuss its geometry in terms of a natural stratification called the Newton stratification, with a particular focus on the case where the underlying group is GLn.