Computational Algebra Seminar: Jahnel -- Experiments with the Brauer-Manin obstruction

Speaker: Jörg Jahnel (Siegen)
Title: Experiments with the Brauer-Manin obstruction
Time & Place: 3:05-4pm, Thursday 7 March, Carslaw 535

Abstract:
I will report on our work, joint with Andreas-Stephan Elsenhans, on the
Brauer-Manin obstruction for certain cubic and K3 surfaces. Concerning
cubic surfaces, the talk will present the case of a 2-torsion Brauer
class, explain how the corresponding surface arise, and show why they
violate weak approximation. Concerning K3 surfaces, a particular type of
Kummer surfaces is considered, for which the transcendental Brauer-Manin
obstruction is particularly well understood.