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PRODID:-//Memento EPFL//
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SUMMARY:Hilbert spaces can affinely spot amenability
DTSTART:20150521T130000
DTEND:20150521T140000
DTSTAMP:20260510T135126Z
UID:482043c2f661cf215520626e4a4570788c5a4690e072ea1003d8893b
CATEGORIES:Conferences - Seminars
DESCRIPTION:Maxime Gheysens (École polytechnique fédérale de Lausanne)\
 nErgodic and Geometric Group Theory seminar\nDay proved in the early sixti
 es a nice geometric fixed-point property characterising amenability. We sh
 ow that such a characterisation already holds in the Hilbert world --- hen
 ce in particular Hilbert spaces are not better-behaved than a general loca
 lly convex space from this viewpoint. Along the way\, we introduce a varia
 nt of the classical induction for non-isometric representations and invest
 igate techniques allowing to transfer results about free groups to general
  non-amenable groups. Joint work with Nicolas Monod.
LOCATION:MA 30 http://plan.epfl.ch/?room=MA%20A3%2030
STATUS:CONFIRMED
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