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) B. Howard - ,
Titre Iwasawa theoretic Gross-Zagier theorem
Date06/03/2006
Horaire14:00 à 16:00
Diffusion
RésumePerrin-Riou has proved a p-adic form of the Gross-Zagiertheorem, relating the p-adic height pairing of a Heegner point to thecentral derivative of the p-adic L-function of an elliptic curve.Mazur and Rubin have since given a conjectural generalization of this,in which the Heegner point is replaced by the inverse limit of Heegnerpoints in an anticyclotomic tower, the p-adic height pairing isreplaced by a pairing valued in the Iwasawa algebra, and the derivativeof the p-adic L-function is replaced by the linear term of atwo-variable p-adic L-function. I will sketch a proof of Mazur andRubin's conjecture, and explain the connection with Perrin-Riou'sIwasawa main conjecture for Heegner points
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