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
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http://www.imj-prg.fr/tn/STN/stnj.html

 


Orateur(s) T. Scholl - ,
Titre Zeta elements and modular forms
Date03/02/2003
Horaire14:00 à 16:00
Diffusion
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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