Coxeter groups with connected Morse boundary

Abstract: The Morse boundary is a quasi-isometry invariant that encodes the possible "hyperbolic" directions of a group. The topology of the Morse boundary can be challenging to understand, even for simple examples. In this talk, I will focus on a basic topological property: connectivity and on a well-studied class of CAT(0) groups: Coxeter groups. I will discuss a criteria that guarantees that the Morse boundary of a Coxeter group is connected. In particular, when we restrict to the right-angled case, we get a full characterization of right-angled Coxeter groups with connected Morse boundary. This is joint work with Ivan Levcovitz.

algebraic topologyfunctional analysisgroup theorygeometric topologyoperator algebras

Audience: researchers in the topic

Vienna Geometry and Analysis on Groups Seminar