Hierarchical hyperbolicity

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• Mark Hagen, Cambridge
• Wednesday 28 October 2015, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

I will discuss “hierarchically hyperbolic spaces” and some of their uses in geometric group theory. This class of spaces is designed to provide a common framework for studying the coarse geometry of a variety of spaces and groups that exhibit features reminiscent of nonpositive/negative curvature. Roughly, a hierarchically hyperbolic space is one whose geometry (up to quasi-isometry) can be recovered by examining maps from the space to a collection of Gromov-hyperbolic spaces. The motivating example is the mapping class group of a surface, but other examples include Teichmuller space (with any of the usual metrics), many CAT cube complexes, and most 3-manifold groups.

This talk is part of the Differential Geometry and Topology Seminar series.

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