# Séminaires : Séminaire Théorie des Nombres

 Equipe(s) : fa, tn, tga, Responsables : Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel Email des responsables : cathy.swaenepoel@imj-prg.fr Salle : Adresse : Description http://www.imj-prg.fr/tn/STN/stnj.html

 Orateur(s) T. Scholl - , Titre Zeta elements and modular forms Date 03/02/2003 Horaire 14:00 à 16:00 Diffusion Résume Let $f$ be a newform on $\Gamma_1(N)$ of weight $k\ge 2$. We show how toconstruct `zeta elements', belonging to a suitable motivic cohomologygroup attached to the motive of $f$, which are related to special$L$-values in two ways: via the archimedean regulator map, to the(non-critical) $L$-values at $s=k$ of $f$ and its twists, and via the$p$-adic dual exponential map, to the (critical) values at $s=k-1$.These generalise Kato's $K_2$ elements for $k=2$. Salle Adresse