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SUMMARY:Hierarchical hyperbolicity - Mark Hagen\, Cambridge
DTSTART:20151028T160000Z
DTEND:20151028T170000Z
UID:TALK60213@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION: I will discuss "hierarchically hyperbolic spaces" and some of
  their uses in geometric group theory.  This class of spaces is designed t
 o provide a common framework for studying the coarse geometry of a variety
  of spaces and groups that exhibit features reminiscent of nonpositive/neg
 ative curvature.  Roughly\, a hierarchically hyperbolic space is one whose
  geometry (up to quasi-isometry) can be recovered by examining maps from t
 he space to a collection of Gromov-hyperbolic spaces.  The motivating exam
 ple is the mapping class group of a surface\, but other examples include T
 eichmuller space (with any of the usual metrics)\, many CAT(0) cube comple
 xes\, and most 3-manifold groups. 
LOCATION:MR13
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