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

 


Orateur(s) Matthew Greenberg - ,
Titre Shimura curves, Coleman families and p-adic L-functions
Date14/06/2010
Horaire14:00 à 16:00
RésumeIn this talk, we will describe a method for assigning a $p$-adic $L$-function to a pair$(F,K)$, where $F$ is a Coleman family of modular forms and $K$ is a real quadratic field.This $p$-adic $L$-function interpolates central values of classical $L$-functions associatedto specializations of $F$ base changed to $K$. In certain situations, These $p$-adic$L$-functions display exceptional zero phenomena and encode information about algebraicpoints on modular abelian varieties.
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