Séminaires : Séminaire Théorie des Nombres

Equipe(s) : tn,
Responsables :Ziyang Gao, Marc Hindry, Bruno Kahn, João Pedro P. dos Santos
Email des responsables : ziyang.gao@imj-prg.fr
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Orateur(s) T. Scholl - ,
Titre Zeta elements and modular forms
Date03/02/2003
Horaire14:00 à 16:00
RésumeLet $f$ 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 $k=2$.
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