# 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 Date 03/06/2013 Horaire 14:00 à 16:00 Résume I 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