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UID:20251019T034344EDT-2198owUvzu@132.216.98.100
DTSTAMP:20251019T074344Z
DESCRIPTION:Title: Action rigidity of free products of hyperbolic manifold 
 groups\n\nAbstract:\n\nGromov's program for understanding finitely generat
 ed groups up to their large scale geometry considers three possible relati
 ons: quasi-isometry\, abstract commensurability\, and acting geometrically
  on the same proper geodesic metric space. A common model geometry for gro
 ups G and G′ is a proper geodesic metric space on which G and G′ act geome
 trically. A group G is action rigid if any group G′ that has a common mode
 l geometry with G is abstractly commensurable to G. We show that free prod
 ucts of closed hyperbolic manifold groups are action rigid. As a corollary
 \, we obtain torsion-free\, Gromov hyperbolic groups that are quasi-isomet
 ric\, but do not even virtually act on the same proper geodesic metric spa
 ce. This is joint work with Emily Stark.\n
DTSTART:20190911T190000Z
DTEND:20190911T200000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Daniel Woodhouse (University of Oxford)
URL:/mathstat/channels/event/daniel-woodhouse-universi
 ty-oxford-300324
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