Probability and Statistics Seminar: Invariant random subgroups of groups acting on trees

Friday, January 17 at 3:30pm to 4:30pm

This is a past event.

Kaprielian Hall (KAP), 414
3620 South Vermont Avenue, Los Angeles, CA 90089

Tianyi Zheng, UC San Diego

Abstract:
A group is called permutation stable if almost homomorphisms to the symmetric groups must be close to actual homomorphisms asymptotically. Recently Becker, Lubotzky and Thom showed a characterization of permutation stability for amenable groups in terms of invariant random subgroups (IRSs). We will discuss some examples of amenable groups acting on the rooted tree, including Grigorchuk groups, whose IRSs have special properties. The information on IRSs allows to verify the Becker-Lubotzky-Thom criterion, thus providing a large collection of permutation stable groups.

Event Type

Lecture / Talk / Workshop

Campus

University Park Campus

Department
Mathematics
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