Stability conditions and Artin—Tits groups

Speaker:Edmund Heng (University of Sydney)
Schedule:Tues., 9:30-10:30 am, July 8, 2025
Venue:双清综合楼C654教室
Date:2025-07-08

Abstract:

Artin—Tits groups are certain groups defined either algebraically as lifts (throwing away s^2 = 1) of Coxeter groups, or topologically as fundamental groups of complexified hyperplane complements associated Coxeter systems. Unlike Coxeter groups, however, these groups have remained “mysterious”, with many group theoretical problems remain open. In this talk, I will discuss how triangulated categories and Bridgeland stability conditions offer new perspectives into these groups. This is based on joint works with Anthony Licata and Oded Yacobi.


组织者:邱宇