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SUMMARY:Michal Doucha (Institute of Mathematics of ASCR)
DTSTART:20241016T113000Z
DTEND:20241016T123000Z
DTSTAMP:20260502T043426Z
UID:PHK-cohomology-seminar/111
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PHK-cohomolo
 gy-seminar/111/">Shadowing of actions of hyperbolic groups on their bounda
 ries</a>\nby Michal Doucha (Institute of Mathematics of ASCR) as part of P
 rague-Hradec Kralove seminar Cohomology in algebra\, geometry\, physics an
 d statistics\n\nLecture held in Konírna\, front building\, ground floor.\
 n\nAbstract\nI will give a quick introduction to general Gromov hyperbolic
  metric spaces\, in particular hyperbolic groups\, and their boundaries. A
  very useful way of studying hyperbolic groups is via their canonical acti
 ons on their boundaries. I will discuss a very recent result of K. Mann et
  al that such actions are topologically stable (although this was apparent
 ly hinted by Gromov in his paper on hyperbolic groups from 1987) and prese
 nt my result that these actions in fact have the so-called shadowing (a.k.
 a. pseudo-orbit tracing) property\, which implies the topological stablity
  as a corollary.\n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/111/
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