Profinite properties of Artin groups

Artin groups are a family of groups that generalize braid groups, and can be defined and studied from various perspectives: topologically, algebraically, and combinatorially. They are mysterious - a lot of basic questions about them remain unanswered. Artin groups are given by simple looking group presentations, are closely related to Coxeter groups, and arise as the fundamental groups of certain complex hyperplane arrangements. In this talk, I will focus on profinite properties of Artin groups. Informally, those properties tell us if the geometry and algebra of the group can be approximated by its finite quotients. I will mention some joint work with Kevin Schreve.