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
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Orateur(s) Tommaso Centeleghe - ,
Titre On torsion fields arising from elliptic curves
Date20/02/2012
Horaire14:00 à 16:00
RésumeLet $E$ 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.
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