Modul: MAT760 Ergodic Theory and Dynamical Systems Seminar

## Convergence of measures on compactifications of locally symmetric spaces

Dr. Christopher Daw talk

Speaker invited by: Prof. Dr. Alexander Gorodnik

**Date:** 22.10.18 **Time:** 15.30 - 16.30 **Room:** Y27H25

In this talk, we will explain our conjecture that the set of homogeneous probability measures on the maximal Satake compactification of an arithmetic locally symmetric space S is compact. To be more precise, given a sequence of homogeneous probability measures on S, we expect that any weak limit is homogeneous with support contained in precisely one of the boundary components. We will discuss some tools that we have used to study this conjecture as well as some partial results.