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
Salle :
Adresse :
Description

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

 


Orateur(s) Lilian Matthiesen - ,
Titre Norm forms as products of linear polynomials
Date03/06/2013
Horaire14:00 à 16:00
Diffusion
RésumeI will discuss recent progressusing additive combinatorics to provethe Hasse principle and weak approximation for certain varietiesdefined by systems of equations involving norm forms. This allows usto show that the Brauer-Manin obstruction controls weak approximationon normic bundles of the shape $N_K(x_1,...,x_n) = P(t)$, where $P(t)$isa product of linear polynomials all defined over $\mathbf Q$ and$K/\mathbf Q$ is anarbitrary extension of degree~$n$.This is joint work with Tim Browning.
Salle
Adresse
© IMJ-PRG