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

 Orateur(s) Dimitar Jetchev - , Titre Global Divisibility of Heegner Points and Tamagawa Numbers Date 02/04/2007 Horaire 14:00 à 16:00 Diffusion Résume We improve Kolyvagin's upper bound on the order of the $p$-primary part of the Shafarevich-Tate group of an elliptic curve of rank one over a quadratic imaginary field with Heegner discriminant. If $p$ is an odd prime which divides at most one Tamagawa number, our bound is precisely the one predicted by the Birch and Swinnerton-Dyer conjectural formula. Salle Adresse