University of Cambridge > > Differential Geometry and Topology Seminar > Hierarchical hyperbolicity

Hierarchical hyperbolicity

Add to your list(s) Download to your calendar using vCal

  • UserMark Hagen, Cambridge
  • ClockWednesday 28 October 2015, 16:00-17:00
  • HouseMR13.

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.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2023, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity