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

Abstract: 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.

number theory

Audience: researchers in the topic

University of Arizona Algebra and Number Theory Seminar