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SUMMARY:Around a big mapping class group - Juliette Bavard (University of 
 Chicago)
DTSTART:20170619T133000Z
DTEND:20170619T143000Z
UID:TALK72987@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>Co-author: Alden Walker		(Center for Communications Rese
 arch\, La Jolla) <br></span><br>The mapping class group of the plane minus
  a Cantor set naturally appears in many dynamical contexts\, including gro
 up actions on surfaces\, the study of groups of homeomorphisms on a Cantor
  set\, and complex dynamics. In this talk\, I will present the &#39\;ray g
 raph&#39\;\, which is a Gromov-hyperbolic graph on which this big mapping 
 class group acts by isometries (it is an equivalent of the curve graph for
  this surface of infinite topological type).&nbsp\;If time allows\, I will
  explain how we can use this action to construct non trivial quasimorphism
 s on this group\, although it is not acylindrically hyperbolic. This might
  involve joint work with Alden Walker.<br>
LOCATION:Seminar Room 1\, Newton Institute
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