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
Salle :
Adresse :



Orateur(s) Baskar Balasubramanyam - ,
Titre Lambda-adic modular symbols and several variable p-adic L-functions over totally real fields
Horaire15:30 à 17:30
RésumeWe 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$f_{(n,v)}$.