University of Utah

Wed 29 Oct 2014, 3:15pm
Topology and related seminars
ESB 4133

Constructing aspherical manifolds with a given fundamental group

ESB 4133
Wed 29 Oct 2014, 3:15pm4:15pm
Abstract
While an aspherical complex is determined up to homotopy by its
fundamental group, there are many geometrically different aspherical
manifolds with the same fundamental group. For instance, the punctured
torus and the pair of pants look quite different, but both have the same
fundamental group F_2. I will discuss constructions of aspherical
manifolds for a given fundamental group, talk about the smallest dimension
of such a manifold for a given group and describe some geometric
invariants that distinguish different aspherical manifolds with the same
fundamental group.
I will discuss this for right angled Artin groups (joint work with Mike
Davis, Boris Okun and Kevin Schreve) and possibly also for duality groups.
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MIT

Wed 26 Nov 2014, 3:15pm
Topology and related seminars
ESB 4133


ESB 4133
Wed 26 Nov 2014, 3:15pm4:15pm
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