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SUMMARY:Daniel Woodhouse (University of Oxford)
DTSTART:20201119T160000Z
DTEND:20201119T170000Z
DTSTAMP:20260423T004636Z
UID:OSUGGT/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSUGGT/18/">
 Action rigidity of free products of hyperbolic manifold groups</a>\nby Dan
 iel Woodhouse (University of Oxford) as part of Ohio State Topology and Ge
 ometric Group Theory Seminar\n\n\nAbstract\nGromov's program for understan
 ding finitely generated groups up to their large scale geometry considers 
 three possible relations: quasi-isometry\, abstract commensurability\, and
  acting geometrically on the same proper geodesic metric space. A *common 
 model geometry* for groups G and G' is a proper geodesic metric space on w
 hich G and G' act geometrically. A group G is *action rigid* if any group 
 G' that has a common model geometry with G is abstractly commensurable to 
 G. We show that free products of closed hyperbolic surface or 3-manifold g
 roups are action rigid. As a corollary\, we obtain torsion-free\, Gromov h
 yperbolic groups that are quasi-isometric\, but do not even virtually act 
 on the same proper geodesic metric space.\n
LOCATION:https://researchseminars.org/talk/OSUGGT/18/
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