Mercredi, 3 Février, 2010 - 14:30
Prénom de l'orateur :
Alexei
Nom de l'orateur :
SKOROBOGATOV
Résumé :
I'll discuss the results on the Brauer group of K3 surfaces obtained jointly with Zarhin and Ieronymou, in particular a uniform upper bound on the cardinality of Br(X)/Br(Q) for diagonal quartic surfaces X over Q, and examples when this group is trivial. I will mention a very recent result of Swinnerton-Dyer in the direction to weak approximation for a specific diagonal quartic surface over Q.
Thème de recherche :
Théorie des nombres
Salle :
04