Coxeter groups with connected Morse boundary

Matthew Cordes (Heriot-Watt University)

Monday 12th February 16:00-17:00 Maths 311B

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.

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