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Groups And Dynamics
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Eduard Einstein, Zoom: Relatively Hyperbolic Groups and their Actions on CAT(0) Cube Complexes
Thursday, April 15, 2021, 12:30pm - 01:30pm
Relatively hyperbolic groups, first introduced by Gromov, generalize hyperbolic groups and have natural applications. For example, the fundamental group of a finite volume hyperbolic 3-manifold is hyperbolic relative to the cusp subgroups. In this introductory talk, I will discuss some of the many equivalent formulations of relative hyperbolicity and the relationship between a relatively hyperbolic group and its Bowditch boundary. I will also introduce CAT(0) cube complexes and give a brief survey of efforts to extend the machinery developed by Agol, Wise and others for cubical hyperbolic groups to relatively hyperbolic groups that act nicely on a CAT(0) cube complex.
Location: Zoom

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