Seminars & Colloquia Calendar
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.