Hierarchical hyperbolicity of Artin groups of extra-large type

Alexandre Martin (Heriot-Watt)

Abstract: 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.