Contracting boundaries of CAT(0) spaces
von 16:00 bis 18:00
|Wo||Hörsaal des Mathematischen Instituts, 1. OG, Raum 111|
Abstract: A complete CAT(0) space has a topological space associated to it called the contracting boundary. This boundary captures how similar the CAT(0) space is to a hyperbolic space. Charney--Sultan proved this boundary is a quasi-isometry invariant that can be used to classify CAT(0) groups according to their hyperbolic-like behavior. This perspective is particularly well-suited to the quasi-isometry classification problem for right-angled Coxeter groups.
The talk is partitioned into two parts. In the first part I will describe the contracting boundary of a complete CAT(0) space. In the second part I will discuss contracting boundaries of right-angled Coxeter groups as an application.