SMS scnews item created by Brendan Creutz at Tue 5 Mar 2013 1357
Type: Seminar
Modified: Tue 5 Mar 2013 1428
Distribution: World
Expiry: 7 Mar 2013
Calendar1: 7 Mar 2013 1505-1600
CalLoc1: Carslaw 535A
Auth: (bcreutz) in SMS-WASM

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

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.