Artin groups form a class of groups generalising braid groups, and whose geometry remains elusive. In recent years, there has been a lot of progress in showing that certain classes of Artin groups are non-positively curved in an appropriate sense and display hyperbolic features. In this talk, I will explain how the action of Artin groups of extra-large type on their Deligne complex can be exploited to show that these groups are hierarchically hyperbolic. This talk is based on joint work with M. Hagen and A. Sisto.
Speaker(s): Alexandre Martin (Heriot-Watt University)