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.
Join Zoom meeting ID 978 1075 8446 or via the link below. Passcode: A group is called an ________ group if it admits an invariant mean. (8 letters, lowercase)