Department of

# Mathematics

Seminar Calendar
for events the day of Wednesday, January 29, 2020.

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events for the
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Questions regarding events or the calendar should be directed to Tori Corkery.
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1  2  3  4  5  6  7             1  2  3  4                      1
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Wednesday, January 29, 2020

3:30 pm in 341 Altgeld Hall,Wednesday, January 29, 2020

#### Introduction to IRS

###### Jenna Zomback and Anush Tserunyan

Abstract: This is an introductory talk on Invariant Random Subgroups (IRS), which can be viewed as probabilistic generalization of normal subgroups and lattices. We will show that for all countable groups, all IRS arise from pmp actions, and discuss Kesten's theorem for IRS. All this is from the paper "Kesten's theorem for Invariant Random Subgroups" by Abert, Glasner, and Virag [arXiv].