Type: Seminar

Distribution: World

Expiry: 27 Oct 2014

Auth: tillmann@p710.pc (assumed)

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). Please join us for lunch after the talk! Cheers, Stephan