### University of Arkansas Topology Seminar: 10/3/2013

### Speaker: Pallavi Dani

### Title: Large-scale geometry of certain right-angled Coxeter
groups

Abstract: A finitely generated group can be
endowed with a natural metric which is unique up to coarse isometries,
or quasi-isometries. A fundamental question is to classify finitely
generated groups up to quasi-isometry. Commensurability is an
algebraic property of pairs of groups which implies quasi-isometry,
but is stronger in general. I will talk about the quasi-isometry and
commensurability classification of a class of hyperbolic right-angled
Coxeter groups. This is work in progress with Anne Thomas.

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