# 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) Luis Garcia - Imperial College London, Titre Regularized theta lifts and currents on orthogonal Shimura varieties Date 09/02/2015 Horaire 10:30 à 12:00 Diffusion Résume We will start by reviewing a conjecture of Beilinson relating the regulator of a higher Chow group of a variety $X$ defined over $\mathbb Q$ with the special value of an L-function attached to $X$. Then I will consider the case where $X$ is a Shimura variety attached to an orthogonal group $G$. I will briefly review the notion of a theta lift and will explain how to construct certain currents on $X$ related to regulator maps as regularised theta lifts for the dual pair $(\operatornameSp_4,G)$. We will show that in some cases these currents can be evaluated and that the result involves the special value of a certain automorphic L-function times certain a certain period on $\operatornameSp_4$. Salle Adresse