## Graduate Groups and Dynamics Seminar

Samuel Dodds

UIC

Introduction to Invariant Random Subgroups

**Abstract:**An Invariant Random Subgroup (IRS for short) for a group $G$ is a probability measure on the space ${\rm Sub}_G$ of all closed subgroups of $G$, invariant under the natural $G$-action by conjugation. This concept is a simultaneous generalization of closed normal subgroups and of lattices. In the lecture we will discuss the compact space ${\rm Sub}_G$, and IRS and give some basic properties of those.

Wednesday February 20, 2019 at 4:00 PM in 612 SEO