The action dimension of some discrete groups

Michael Davis (Ohio State Univdersity)

Wednesday 17th May, 2017 16:00-17:00 Maths 331B

Abstract

The geometric dimension of a torsion-free group G is the minimum dimension of a model for BG by a CW complex. Its action dimension is the minimum dimension for a model by a manifold.. I will discuss some recent work with Kevin Schreve and Giang Le in which we compute the action dimension of Artin groups, graph products and other examples of groups which are given as simple complexes of groups.

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