Groups and Operator Algebras Seminar

Speaker: Alexandre Martin (Heriot-Watt University)

Title: Cubulating Artin groups via cubical small cancellation

Abstract: Artin groups form a large class of groups generalising braid groups and related to Coxeter groups. While the geometry of Coxeter groups is reasonably well understood, much less is known about the geometry of Artin groups. In particular, it is unknown whether they are properly cubulated, with only a few known classes of properly cubulated Artin groups.

In this talk, I will report on joint work with Macarena Arenas, where we use tools from cubical small cancellation to prove that vast classes of Artin groups, and in particular all Artin groups with sufficiently large labels, are properly cubulated.