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SUMMARY:"Generalised negative curvature and the geometry of groups"
DTSTART:20170228T091500
DTEND:20170228T101500
DTSTAMP:20260920T172526Z
UID:30d84eb0588085fc5c6586fff26ccaec047fc258a72f18334f86993a
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr. Mark Hagen (University of Cambridge) \nGeometric group the
 ory involves the study of groups as geometric objects\, often via their (w
 ell-behaved) actions on (tractable)  spaces\, from which information abou
 t the group -- algebraic\, geometric\, algorithmic\, etc. -- can be decoct
 ed.  A major theme is that this method is particularly powerful when the 
 spaces in question exhibit features of negative or nonpositive curvature.
   One of the most stunning examples is the theory of Gromov-hyperbolic gr
 oups.  On the combinatorial side\, so-called CAT(0) cube complexes recent
 ly proved their utility in resolving outstanding conjectures in 3-manifold
  topology (by Agol\, Wise\, and their collaborators)\, and are now ubiquit
 ous objects in geometric group theory.  Using cubical geometry as a start
 ing point\, I'll sketch the theory of "hierarchically hyperbolic groups"\,
  a common generalisation of hyperbolic groups\, cubical groups\, and mappi
 ng class groups of surfaces\, which I have recently developed with J. Behr
 stock\, M. Durham\, and A. Sisto.\n I'll illustrate the main goals and so
 me future directions.\n 
LOCATION:CIB - BI A0 448 http://plan.epfl.ch/?room=BIA0448
STATUS:CONFIRMED
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