# 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) H. YOSHIDA - Kyoto University, Titre Cohomology and $L$-values Date 06/06/2011 Horaire 10:30 à 11:30 Diffusion Résume In a paper published in 1959, Shimura presented an elegant calculation of the critical values of $L$-functions attached to elliptic modular forms using the first cohomology group. I will show that a similar calculation is possible for Hilbert modular forms over real quadratic fields using the second cohomology group. Explicit numerical examples calculated by this method will be presented. I will also show that we can deduce some information on periods which are not related to critical values by this method. Salle Adresse