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SUMMARY:Projections\, walls and stable cylinders - Davide Spriano\, Oxford
DTSTART:20250606T124500Z
DTEND:20250606T134500Z
UID:TALK229666@talks.cam.ac.uk
CONTACT:Francesco Fournier-Facio
DESCRIPTION:In this talk we will discuss a generalisation of Sageev's wall
 space construction that allows to improve geometrical properties of a spac
 e by looking at its dual with respect to a set of walls. Specifically \, w
 e'll look at the interactions with hyperbolicity and focus on two applicat
 ions. In CAT(0) spaces\, these techniques allow to construct a "universal 
 hyperbolic quotient"\, called the curtain model\, that is analogous to the
  curve graph of a surface. When focusing on a space that is already hyperb
 olic\, we the construction can be used to improve its fine properties\, an
 d  in particular we address a conjecture of Rips and Sela and show that re
 sidually finite hyperbolic groups admit globally stable cylinders. This is
  joint work with Petyt and Zalloum.
LOCATION:MR20
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