|
Statut |
Confirmé |
|
Série |
MATH-IHES |
|
Domaines |
hep-th |
|
Date |
Lundi 9 Décembre 2019 |
|
Heure |
16:30 |
|
Institut |
IHES |
|
Salle |
Amphithéâtre Léon Motchane |
|
Nom de l'orateur |
Boyer |
|
Prenom de l'orateur |
Adrien |
|
Addresse email de l'orateur |
|
|
Institution de l'orateur |
IMJ-PRG |
|
Titre |
Complementary Series for Hyperbolic Groups |
|
Résumé |
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.
|
|
Numéro de preprint arXiv |
|
|
Commentaires |
Séminaire Géométrie et groupes discrets |
|
Fichiers attachés |
|
