Event
Christophe Hohlweg (Universit茅 du Qu茅bec 脿 Montr茅al)
Wednesday, April 4, 2018 15:00to16:00
Burnside Hall
Room 920, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA
Title: On the word problem for Artin-Tits groups and Shi arrangements in Coxeter groups.
In this talk, I will survey the notion of Garside families in relation with the word problem for Artin-Tits groups. In particular, Dehornoy, Dyer and I proved that there exist a finite Garside family in any Artin-Tits group G. Then I will discuss how this family is (surprisingly) related to a well-known finite hyperplane sub-arrangement, the Shi arrangement, of the reflection arrangement of the Coxeter group associated to G.