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University of Cambridge > Talks.cam > Number Theory Seminar > The Brauer-Manin obstruction to the local-global principle for the embedding problem
The Brauer-Manin obstruction to the local-global principle for the embedding problemAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact Tom Fisher. We study an analogue of the Brauer-Manin obstruction to the local-global principle for embedding problems over global fields. We will prove the analogues of several fundamental structural results. In particular we show that the Brauer-Manin obstruction is the only one to strong approximation when the embedding problem has abelian kernel and show that the analogue of the algebraic Brauer-Manin obstruction is equivalent to the analogue of the abelian descent obstruction. In the course of our investigations we give a new, elegant description of the Tate duality pairing and prove a new theorem on the cup product in group cohomology. (Joint work with Tomer Schlank.) This talk is part of the Number Theory Seminar series. This talk is included in these lists:
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