# 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) Baskar Balasubramanyam - , Titre Lambda-adic modular symbols and several variable p-adic L-functions over totally real fields Date 21/04/2008 Horaire 15:30 à 17:30 Diffusion Résume We recall Hida's construction of the universalnearly-ordinary Hecke algebra for totally real number fields.  Themain theorem  of Hida's theory allows us to lift a classical modularform $f_0$ to a homomorphism of this Hecke algebra and byspecializing at various integer weights we get a family of cusp forms$f_{(n,v)}$.  One can attach in a natural way certain cohomologyclasses to these cusp forms and we prove a control theorem for thesecohomology groups.  We then construct a $p$-adic L-function whichinterpolates single variable $p$-adic L-functions attached to$f_{(n,v)}$. Salle Adresse