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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