Matthew Haulmark (Vanderbilt University)

Title: Non-hyperbolic groups with Menger curve boundary.

Abstract:

In the hyperbolic setting, groups with Menger curve boundary are known to be abundant. It was a surprising observation of Ruane that there were no known examples of non-hyperbolic groups with Menger curve boundary found in the literature. Thus Ruane posed the problem (early 2000's) of finding examples (alt. interesting classes) of non-hyperbolic groups with Menger curve boundary. In this talk I will discuss the first class of such examples. This is joint work with Chris Hruska and Bakul Sathaye. Time permitting, I will also discuss related work concerning right-angled Coxeter groups.