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Stability conditions and Artin—Tits groups

来源: 07-07

时间:Tues., 9:30-10:30 am, July 8, 2025

地点:C654, Shuangqing Complex Building A

组织者:邱宇

主讲人:Edmund Heng

Edmund Heng

University of Sydney

Research areas:

Representation theory; Group theory and generalisations.

# Organizer

邱宇

# Time

Tues., 9:30-10:30 am, July 8, 2025

# Venue

C654, Shuangqing Complex Building A

#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.

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