# Séminaires : Séminaire Théorie des Nombres

 Equipe(s) : fa, tn, tga, Responsables : Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel Email des responsables : cathy.swaenepoel@imj-prg.fr Salle : Adresse : Description http://www.imj-prg.fr/tn/STN/stnj.html

 Orateur(s) O. Venjakob - , Titre Characteristic elements in non-commutative Iwasawa theory Date 02/02/2004 Horaire 14:00 à 16:00 Diffusion Résume Thanks to Rubin and others, the one and two variable Iwasawa theory of elliptic curves with complex multiplication (CM) is well understood. On the other hand, not much is known about the $GL_2$ theory of elliptic curves without CM. The aim of the talk is to introduce characteristic elements, i.e. algebraic $p$-adic $L$-functions, in this situation, they live in certain localizations of the Iwasawa algebra. Finally, we discuss the Iwasawa Main Conjecture in the $GL_2$ setting. Salle Adresse