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SUMMARY:3-Manifold Groups Acting Acylindrically on Trees - William Cohen\,
  University of Cambridge
DTSTART:20231006T124500Z
DTEND:20231006T134500Z
UID:TALK204577@talks.cam.ac.uk
CONTACT:Macarena Arenas
DESCRIPTION:It was shown by Balasubramanya that any acylindrically hyperbo
 lic group must act acylindrically and non-elementarily on some quasi-tree.
  It is therefore sensible to ask to what extent this is true for trees\, i
 .e. given an acylindrically hyperbolic group\, does it admit a non-element
 ary acylindrical action on some simplicial tree? In this talk I will intro
 duce the concept of an acylindrically arboreal group and consider some exa
 mples of acylindrically hyperbolic groups which do and do not act acylindr
 ically on trees. I will then present a characterisation of when exactly th
 e fundamental groups of closed and orientable hyperbolic 3-manifolds act a
 cylindrically and non-elementarily on trees based entirely on the geometry
  of the 3-manifolds in question.
LOCATION:MR13
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