# 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) Chad Schoen - , Titre A numerical look at the generalized Birch andSwinnerton-Dyer conjecture for certain threefolds Date 10/06/2013 Horaire 14:00 à 16:00 Diffusion Résume This is joint work with JoeBuhler and Jaap Top. The generalization of the original conjecture ofBirch and Swinnerton-Dyer was formulated by Bloch and Beilinson andpredicts that the order of vanishing of the $L$-function of a threefoldat the center of the critical strip gives the rank of the Chow group ofcycles homologous to zero. We discuss an attempt to constructnull-homologous one cycles, evaluate the Abel-Jacobi map at thesecycles, and to compare the results with the apparent order of vanishingof the $L$-function. Salle Adresse