Séminaires : Séminaire Théorie des Nombres

Equipe(s) : fa, tn, tga,
Responsables :Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel
Email des responsables : cathy.swaenepoel@imj-prg.fr
Salle :
Adresse :



Orateur(s) Rachel Newton - Reading,
Titre A walk on the wild side: evaluating p-torsion Brauer classes at p-adic points
Horaire14:00 à 15:00
RésumeIn order to compute Brauer-Manin obstructions to the Hasse principle and weak approximation, one must evaluate elements of the Brauer group at adelic points of a variety X. If an element of the Brauer group has order coprime to p, then its evaluation at a p-adic point factors via reduction of the point modulo p. For p-torsion elements this is no longer the case: in order to compute the evaluation map one must know the point to a higher p-adic precision. Classifying Brauer group elements according to the precision required to evaluate them at p-adic points gives a filtration on BrX[p] which we describe using work of Bloch and Kato. This is joint work with Martin Bright.