SMS scnews item created by Stephan Tillmann at Mon 28 Jul 2014 1038
Type: Seminar
Distribution: World
Expiry: 27 Oct 2014
Calendar1: 6 Aug 2014 1100-1200
CalLoc1: Carslaw 535A
Auth: tillmann@p710.pc (assumed)

# Geometry-Topology-Analysis Seminar: Thomas -- Quasi-isometry and commensurability for right-angled Coxeter groups

A familiar face returns in Week 2 of the Geometry-Topology-Analysis Seminar:

Wednesday, 6 August, 11:00-12:00 in Carslaw 535A

Anne Thomas (Glasgow)

Quasi-isometry and commensurability for right-angled Coxeter groups

Let G be a finite simple graph with vertex set S. The associated
right-angled Coxeter group W(G) is the group with generating set S, and
relations s^2 = 1 for all s in S and st = ts if and only if s and t are
adjacent vertices. We investigate the classification of certain W(G)
up to quasi-isometry, which is a "coarse" equivalence relation on finitely
generated groups formulated by Gromov, and also up to commensurability,
where two groups G and H are commensurable if they have isomorphic finite
index subgroups. Our methods are geometric and topological. This is joint
work with Pallavi Dani (Louisiana State University) and Emily Stark (Tufts
University).