# 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) Alan Lauder - , Titre Ranks of elliptic curves over function fields Date 04/06/2007 Horaire 14:00 à 16:00 Diffusion Résume I will discuss a method for computing the zeta function of an algebraicvariety over a finite field which proceeds by induction on thedimension''. The algorithm uses both crystalline and rigid cohomology indifferent ways. I have used the algorithm to investigate experimentally someconjectures relating to analytic ranks of elliptic curves over functionfields. I will present some of my preliminary findings. Salle Adresse