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SUMMARY:Rémi Boutonnet (Institut de Mathématiques de Bordeaux\, France)
DTSTART:20210510T140000Z
DTEND:20210510T150000Z
DTSTAMP:20260422T175135Z
UID:QGS/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/21/">Non
 -commutative ergodic theory of semi-simple lattices</a>\nby Rémi Boutonne
 t (Institut de Mathématiques de Bordeaux\, France) as part of Quantum Gro
 ups Seminar [QGS]\n\n\nAbstract\nIn the late 90's\, Nevo and Zimmer wrote 
 a series of papers describing the general structure of stationnary actions
  of higher rank semi-simple Lie groups G on probability spaces. With Cyril
  Houdayer we extended this result in two ways: first we upgraded it to act
 ions on non-commutative spaces (von Neumann algebras)\, and we also manage
 d to study actions of lattices in G. I will explain this non-commutative e
 rgodic theorem and the main ingredients of proof\, and give striking conse
 quences on the unitary representations of these lattices and their charact
 ers.\n
LOCATION:https://researchseminars.org/talk/QGS/21/
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