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