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 :

Orateur(s) H. YOSHIDA - Kyoto University,
Titre Cohomology and $L$-values
Horaire10:30 à 11:30
RésumeIn 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.