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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http://www.imj-prg.fr/tn/STN/stnj.html

 


Orateur(s) G. Malle - ,
Titre Counting extensions of number fields
Date08/03/2004
Horaire14:00 à 16:00
RésumeGiven a number field $k$ and a finite group $G$ we are interested inthe number $N(k,G,x)$ of Galois extensions of $k$ with group $G$ andnorm of the discriminant bounded by $x$. We present a conjecture onthe asymptotic behaviour of this function as $x$ tends to $\infty$ (infact even for the case of non-Galois extensions), and give some evidencefor it. We will also report on the proof of a weak form of this conjecturein the case of nilpotent groups $G$ and related results.
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