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SUMMARY:Davide Spriano (Oxford)
DTSTART:20220127T150500Z
DTEND:20220127T155500Z
DTSTAMP:20260423T003236Z
UID:GaTO/52
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/52/">Hy
 perbolic spaces for $\\mathrm{CAT}(0)$ groups</a>\nby Davide Spriano (Oxfo
 rd) as part of Geometry and topology online\n\n\nAbstract\n$\\mathrm{CAT}(
 0)$ spaces\, as avatars of non-positive curvature\, are both old and widel
 y studied.  Making up an important subclass are the $\\mathrm{CAT}(0)$ cub
 e complexes: spaces obtained by gluing Euclidean $n$-cubes along faces and
  satisfying an additional combinatorial conditions.  Given such a space $X
 $\, there are several techniques to construct associated spaces that "dete
 ct the hyperbolic behaviour" of $X$.  All of these techniques rely on the 
 combinatorial structure coming from the cubes. \n\nIn this talk we will pr
 esent a new approach to construct hyperbolic spaces on which $\\mathrm{CAT
 }(0)$ groups act.  We thus obtain characterisations of rank-one elements a
 nd recover rank-rigidity results. \n\nThis is joint work with H. Petyt and
  A. Zalloum.\n
LOCATION:https://researchseminars.org/talk/GaTO/52/
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