Alexandre Martin (Heriot-Watt) - On the automorphism group of graph products of groups
на канале: 2017-2018 Warwick EPSRC Symposium on Geometry, Topology and Dynamics in Low Dimensions
Graphs, surfaces, and cube complexes
13 July 2018
Abstract: Graph products of groups are a construction that interpolates between direct products and free products, and contain well-known examples such as right-angled Coxeter groups and right-angled Artin groups. In this talk, I will present a form of rigidity for the automorphism group of certain graphs of groups. I will recall a construction due to Davis that allows us to understand graph products through their action on CAT(0) cube complexes, and explain how this action extends to the whole automorphism group in certain cases. Such an action can then be used to completely compute their automorphism group, or to show their acylindrical hyperbolicity.
This is joint work with Anthony Genevois.