# Séminaires : Séminaire Groupes Réductifs et Formes Automorphes

 Equipe(s) : fa, tn, Responsables : Alexis Bouthier, Benoît Stroh Email des responsables : alexis.bouthier@imj-prg.fr, benoit.stroh@imj-prg.fr Salle : Adresse : Description

 Orateur(s) Yannan QIU - Columbia-IHES, Titre Local integrals of matrix coefficients Date 05/12/2011 Horaire 10:30 à 11:30 Résume The Refined Global Gross-Prasad Conjecture expresses periods of tempered representations as the product of certain $L$-values and certain local integrals of matrix coefficients. When the global representations are non-tempered, these local integrals could be divergent and we suggest that they be regularized using spherical height functions. As an example, we study the $SO(4)$-periods of $SO(4) \times SO(5)$ representations when the $SO(5)$-representations are non-tempered and of Saito-Kurokawa type; using theta lifting and our regularization technique, we obtain two precise global period formulas. Salle Adresse