Topology and Group Theory Seminar: April 2, 2025
Speaker: Talia Fernos (Vanderbilt)
Title: Lattice envelopes and groups acting AU-acylindrically on products of hyperbolic spaces
Abstract: In this joint work with Balasubramanya, we explore the capacity for a group acting AU-acylindrically on a finite product of delta-hyperbolic spaces to satisfy three properties introduced by Bader, Furman, and Sauer. When satisfied, these properties restrict the potential ambient group in which it can be imbedded as a lattice. In this talk, we will also discuss the classification of actions on a delta-hyperbolic space, the associated trifurcation of elliptic actions, and the relationship to normal and commensurate subgroups. We will end the talk with an open question.