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SUMMARY:Vlad Vankov (Bristol)
DTSTART:20250429T130000Z
DTEND:20250429T140000Z
DTSTAMP:20260421T154007Z
UID:UEAPS/52
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UEAPS/52/">C
 ohomology\, groups and negatively curved geometry</a>\nby Vlad Vankov (Bri
 stol) as part of ANTLR seminar\n\nLecture held in SCI 3.05.\n\nAbstract\nO
 ver the last thirty years\, hyperbolic and relatively hyperbolic groups ha
 ve found characterisations in terms of homological algebra in various form
 s\, for example through bounded cohomology and bounded-valued cohomology. 
 To link the algebra and the geometry\, locally finite spaces are usually u
 sed. This can pose issues when dealing with other generalisations of hyper
 bolicity\, such as acylindrically hyperbolic groups. To address this\, in 
 joint work with Francesco Milizia\, Nansen Petrosyan and Alessandro Sisto\
 , we study a cohomology theory that detects hyperbolicity for general metr
 ic spaces. As a consequence\, we are able to provide a characterisation of
  hyperbolically embedded subgroups in terms of homological algebra.\n
LOCATION:https://researchseminars.org/talk/UEAPS/52/
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