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SUMMARY:The Brauer-Manin obstruction to the local-global principle for the
  embedding problem - Ambrus Pal (Imperial)
DTSTART:20111108T143000Z
DTEND:20111108T153000Z
UID:TALK34172@talks.cam.ac.uk
CONTACT:Tom Fisher
DESCRIPTION:We study an analogue of the Brauer-Manin obstruction to the\nl
 ocal-global principle for embedding problems over global fields. We will\n
 prove the analogues of several fundamental structural results. In particul
 ar\nwe show that the Brauer-Manin obstruction is the only one to strong\na
 pproximation when the embedding problem has abelian kernel and show that\n
 the analogue of the algebraic Brauer-Manin obstruction is equivalent to th
 e\nanalogue of the abelian descent obstruction. In the course of our\ninve
 stigations we give a new\, elegant description of the Tate duality\npairin
 g and prove a new theorem on the cup product in group cohomology.\n(Joint 
 work with Tomer Schlank.)
LOCATION:MR13
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