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SUMMARY:Cannon-Thurston maps for the Morse boundary - Matt Cordes\, Heriot
 -Watt
DTSTART:20250131T134500Z
DTEND:20250131T144500Z
UID:TALK224410@talks.cam.ac.uk
CONTACT:Macarena Arenas
DESCRIPTION:Fundamental to the study of hyperbolic groups is their Gromov 
 boundaries. The classical Cannon—Thurston map for a closed fibered hyper
 bolic 3-manifolds relates two such boundaries: it gives a continuous surje
 ction from the boundary of the surface group (a circle) to the boundary of
  the 3-manifold group (a 2-sphere). Mj (Mitra) generalized this to all hyp
 erbolic groups with hyperbolic normal subgroups. A generalization of the G
 romov boundary to all finitely generated groups is called the Morse bounda
 ry. It collects all the "hyperbolic-like" rays in a group. In this talk we
  will discuss Cannon--Thurston maps for Morse boundaries. This is joint wo
 rk with Ruth Charney\, Antoine Goldsborough\, Alessando Sisto and Stefanie
  Zbinden.
LOCATION:MR13
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