Coxeter groups with (locally)-connected Morse boundary

Matt Cordes (ETH Zürich)

Jul 17. 2023, 16:00 — 16:40

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: (local) 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 (locally)-connected. In particular, when we restrict to the right-angled case, we get a full characterization of right-angled Coxeter groups with (locally)-connected Morse boundary. This is joint work with Ivan Levcovitz.

Further Information
ESI Schrödinger and Boltzmann Lecture Hall
Associated Event:
Geometric and Asymptotic Group Theory with Applications 2023 - Groups and Dynamics (Workshop)
Christopher Cashen (U of Vienna)
Javier de la Nuez González (KIAS, Seoul)
Alexandra Edletzberger (U of Vienna)
Yash Lodha (U of Hawaii, Honolulu)