April 11, 2000

Jeremy Teitelbaum

Title: p-adic symmetric spaces and p-adic boundary values

Abstract:

In this talk I will describe some of the geometry of Drinfeld's p-adic symmetric space. This space serves as a sort of "generalized upper half plane" for the theory of p-adic uniformization of algebraic varieties. After introducing this space and describing some of its interesting geometric properties, I will discuss some recent results with Peter Schneider on the relationship between holomorphic functions on the space and certain classes of distributions on its boundary.