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DTSTAMP:20250707T010007Z
DESCRIPTION:Title: Stability for hyperbolic groups acting on their boundari
 es.\n\nAbstract: A hyperbolic group acts naturally by homeomorphisms on it
 s boundary. The theme of this talk is to say that\, in many cases\, such a
 n action has very robust dynamics. Jonathan Bowden and I studied a very sp
 ecial case of this\, showing if G is the fundamental group of a compact\, 
 negatively curved Riemannian manifold\, then the action of G on its bounda
 ry is topologically stable (small perturbations of it are semi-conjugate\,
  containing all the dynamical information of the original action). In new 
 work with Jason Manning\, we get rid of the Riemannian geometry and show t
 hat such a result holds for hyperbolic groups with sphere boundary\, using
  purely large-scale geometric techniques. This theme of studying topologic
 al dynamics of boundary actions dates back at least as far as work of Sull
 ivan in the 1980's\, although we take a very different approach. My talk w
 ill give some history and some picture of the large-scale geometry involve
 d in our work.\n\n \n\nThis information can also be found on the seminar w
 ebsite. We hope to see you all there.\n\nLink: https://mcgill.zoom.us/j/98
 910726246?pwd=VHlzTzdTZGtqcHVuWGNKdys4d0FzQT09\n\nZoom ID: 989 1072 6246\n
 	Password: delta\n\n \n
DTSTART:20201104T200000Z
DTEND:20201104T210000Z
SUMMARY:Kathryn Mann (Cornell University)
URL:/mathstat/channels/event/kathryn-mann-cornell-univ
 ersity-325828
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