Kęstutis Česnavičius, Marc Hindry, Wieslawa Nizioł, 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. Rizzo - ,
Titre
Mazur's question on mod 11 representations of elliptic curves.
Date
03/12/1998
Horaire
14:00 à 16:00
Diffusion
Résume
Given an integer N, we can naturally associate to each elliptic curveover Q a Galois representation mod N. Mazur asked if there existpairs of (non-isogenous) elliptic curves with isomorphic mod Nrepresentation. Using the geometry of a particular class of modularsurfaces introduced by Kani, which turns out to be a moduli space forMazur's problem, we prove that, for N=11, there are infinitely manysuch pairs (even if we cannot build a single example...)
