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The poset of acylindrically hyperbolic structures on a group

Introductory Workshop: Geometric Group Theory August 22, 2016 - August 26, 2016

August 23, 2016 (03:50 PM PDT - 04:40 PM PDT)
Speaker(s): Denis Osin (Vanderbilt University)
Location: MSRI: Simons Auditorium
  • geometric group theory

  • hyperbolic group

  • acylindrically hyperbolic structures

  • posets

  • applications

  • rigidity results

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



For every group G, we introduce the set of acylindrically hyperbolic structures on G, denoted AH(G). One can think of elements of AH(G) as cobounded acylindrical G-actions on hyperbolic spaces considered up to a natural equivalence.Elements of AH(G) can be ordered in a natural way according to the amount of information they provide about the group G. We will discuss some basic questions about the poset structure of AH(G) as well as more advanced results about the existence of maximal acylindrically hyperbolic structures and rigidity phenomena

26643?type=thumb Osin Notes 114 KB application/pdf Download
Video/Audio Files


H.264 Video 14594.mp4 293 MB video/mp4 rtsp://videos.msri.org/data/000/026/457/original/14594.mp4 Download
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