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Groups generated by reflections

Time

Jan 11 2010 - 4:30pm - 5:30 pm

Location

CH 240

Speaker

Mike Davis (OSU)

Abstract

I will discuss groups generated by reflections on the spaces on constant curvature: the sphere, Euclidean space, or hyperbolic space. Then I will define the notion of a "Coxeter group" (or an "abstract reflection group"). I will show how to realize any given Coxeter group as a group generated by reflections on a particularly nice space. In the second talk I will give applications of this construction to some problems in geometric group theory and topology.

Notes

This lecture is part of Invitation to Mathematics.
Pre-candidacy students can sign up for this lecture series by registering for one credit hour of Math 693, Call # 25286 (with Prof H. Moscovici).
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Last updated by kerler.2 on 01/11/10