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SUMMARY:Quasi-flats in hierarchically hyperbolic spaces - Alessandro  Sist
 o (ETH Zürich)
DTSTART:20170209T100000Z
DTEND:20170209T120000Z
UID:TALK70891@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The notion of hierarchically hyperbolic space provides a commo
 n framework to study mapping class groups\, Teichmueller spaces with eithe
 r the Teichmueller or the Weil-Petersson metric\, CAT(0) cube complexes ad
 mitting a proper cocompact action\, fundamental groups of non-geometric 3-
 manifolds\, and other examples.  &nbsp\;  I will discuss the result that a
 ny top-dimensional quasi-flat in a hierarchically hyperbolic space lies wi
 thin finite Hausdorff distance from a finite union of "standard orthants"\
 , a result new for both mapping class groups and cube complexes. Also\, I 
 will discuss how this can be used to reduce proving quasi-isometric rigidi
 ty results to much more manageable\, (mostly) combinatorial problems that 
 require no knowledge about the geometry of HHSs.  &nbsp\;  Joint work with
  Jason Behrstock and Mark Hagen.  <br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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