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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Orateur(s) Shinichi Kobayashi - Kyushu University,
Titre The p-adic Gross-Zagier formula for elliptic curves atsupersingular primes
Date11/03/2013
Horaire14:00 à 16:00
Diffusion
RésumeLet E be an elliptic curvedefined over Q and K an imaginary quadratic field satisfying theHeegner hypothesis. The p-adic Gross-Zagier formula for E is a formularelating the derivative of the L-function of E/K and the p-adic heightof the Heener point for K. For a good ordinary prime p, the formula isalready obtained by B. Perrin-Riou long time ago. In this talk, wediscuss the good supersingular case and explain ideas of proof.
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