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.
