Student Arithmetic Geometry Seminar: The p-adic Cohomology of Drinfeld half-spaces

Seminar | September 14 | 4:10-5 p.m. | 891 Evans Hall

 Koji Shimizu, UC Berkeley

 Department of Mathematics

This is a survey talk on the paper “Cohomology of p-adic Stein spaces” by Colmez, Dospinescu and Niziol. Drinfeld half-spaces are a p-adic analogue of the complex upper half-plane, and our goal is to describe p-adic (pro-)etale cohomology of these rigid analytic spaces in terms of Steinberg representations of the general linear group. In this talk, I will explain several key ingredients in their computation.