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Topology/Geometry Seminar

Free products and random walks in acylindrically hyperbolic groups

Carolyn Abbott (Columbia)

Location:  Hill 705
Date & time: Tuesday, 05 November 2019 at 3:50PM - 4:40PM

Abstract:  The properties of a random walk on a group which acts on a hyperbolic metric space have been well-studied in recent years. In this talk, I will focus on random walks on acylindrically hyperbolic groups, a class of groups which includes mapping class groups, Out(F_n), and right-angled Artin and Coxeter groups, among many others. I will discuss how a random element of such a group interacts with fixed subgroups that have certain nice properties. In particular, I will discuss when the subgroup generated by a random element and a fixed subgroup is a free product, and I will also describe some of the geometric properties of that free product.

This is joint work with Michael Hull.

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