Artin-Tits groups, Coxeter groups and Shi arrangements


In this talk, I will survey how the study of the word problem - a pure abstract group problem -  in Artin-Tits group, a class of groups that generalizes the braid group, led to an unexpected link to a family of hyperplane arrangements associated to Coxeter groups - groups of mirror symmetries - called the Shi arrangements. In doing so, I will illustrate how the intuition behind this research arises from previous research on the understanding of infinite root systems and inversion sets of elements in Coxeter groups.


For those that cannot attend in person, join via Zoom:


Christophe Hohlweg
Directeur du LaCIM
LaCIM et Département de Mathématiques
Université du Québec à Montréal

WXLR A021 (lower level)