SMRI Seminar: Hohlweg -- Artin-Tits groups, Coxeter groups and Shi arrangements

SMRI Seminar, ’Artin-Tits groups, Coxeter groups and Shi arrangements’ 

Speaker: Christophe Hohlweg, Universite du Quebec a Montreal (UQAM) 

Abstract: In this talk, I will explain 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.  This
will be a colloquium talk based on a research project initiated with Dehornoy and Dyer
in 2015, the latest part of which obtained l with Dyer, Fishel and Marks in 2024.