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SUMMARY:Curtains\, walls and stable cylinders - Davide Spriano (University
  of Oxford)
DTSTART:20250718T104500Z
DTEND:20250718T114500Z
UID:TALK233593@talks.cam.ac.uk
DESCRIPTION:In this talk we will discuss a generalization of Sageev&rsquo\
 ;s wallspace construction that allows to study the geometry of certain spa
 ces by combinatorial properties of certain walls. Specifically\, we&rsquo\
 ;ll look at the interactions with hyperbolicity and focus on two applicati
 ons. In CAT(0) spaces\, these techniques allow to construct a &ldquo\;univ
 ersal hyperbolic quotient&rdquo\;\, called the curtain model\, that is ana
 logous to the curve graph of a surface. When focusing on a space that is a
 lready hyperbolic\, the construction can be used to improve its fine prope
 rties\, and in particular we address a conjecture of Rips and Sela and sho
 w that residually finite hyperbolic groups admit globally stable cylinders
 . This is joint work with Petyt and Zalloum.
LOCATION:Seminar Room 1\, Newton Institute
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