Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
Subjects hep-th
Date Monday 9 December 2019
Time 16:30
Institute IHES
Seminar Room Amphithéâtre Léon Motchane
Speaker's Last Name Boyer
Speaker's First Name Adrien
Speaker's Email Address
Speaker's Institution IMJ-PRG
Title Complementary Series for Hyperbolic Groups
Abstract To sum up: We will define complementary series for hyperbolic groups and prove their irreducibility. More precisely: The complementary series representations are a family of unitary representations that can be realized on the Gromov boundary of the hyperbolic group. They can be viewed as a one-parameter deformation of the quasi-regular representation arising on the boundary, "sometimes" approaching the trivial representation, in a certain sense. The starting point of this work is to find a suitable scalar product in order to unitarize the complementary series. Then, a spectral estimates combined with counting estimates enable us to prove an ergodic theorem à la Bader-Muchnik to achieve the irreducibility. Joint work with Kevin Boucher and Jean-Claude Picaud.
arXiv Preprint Number
Comments Séminaire Géométrie et groupes discrets

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