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)

Tommaso Centeleghe - ,

Titre

On torsion fields arising from elliptic curves

Date

20/02/2012

Horaire

14:00 à 16:00

Résume

Let $E$ be an elliptic curve over a number field $K$, and $n$ bea positive integer. In this elementary talk we consider the problem of characterizing the primes of $K$ which are complete split in the extension $K(E[n])/K$. If $K$ is either $\mathbb Q$ or a quadratic extension of it, and $n>2$,then we show how the above question can be answered using Hilbert Class Polynomials. This work was motivated by a question raised by Wiese andMerel.