SMS scnews item created by Catherine Meister at Mon 23 Mar 2026 1025
Type: Seminar
Distribution: World
Expiry: 30 Mar 2026
Calendar1: 25 Mar 2026 1200-1300
CalLoc1: SMRI Seminar Room (A12 Macleay Room 301)
CalTitle1: Divergence in Coxeter groups
Auth: cmeister@staff-10-48-20-225.vpnuser.sydney.edu.au (cmei0631) in SMS-SAML

Geometry & Topology Seminar: Thomas

Divergence in Coxeter groups

Anne Thomas, University of Sydney

Geometry & Topology Seminar, Wednesday 25th March 2026, 12 pm – 1 pm, SMRI Seminar Room (A12 Macleay Room 301)

Abstract: The divergence of a pair of geodesic rays measures how fast they move away from each other. In the 1990s, Gersten used this idea to define a quasi-isometry invariant for finitely generated groups, also called divergence, and divergence has since been investigated for many families of groups of importance in geometric group theory. In this talk, we discuss progress on understanding divergence in (infinite) Coxeter groups. The right-angled case is now well-understood, and we have a partly conjectural picture for general Coxeter groups. This includes joint work and work-in-progress with Pallavi Dani, Max Mikkelsen, Yusra Naqvi and Ignat Soroko.

The Geometry & Topology Seminar will be held on the second and fourth Wedensday of the month during semester. The Australian Geometric Topology Webinar will be broadcast at the same time and place on the first and third Wednesday of the month. For seminar updates, see Geometry & Topology Seminar.