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Oberseminar WiSe 2010/11 Zusammenfassung des Vortrags von Jakob Stix (Heidelberg)

On the passage form local to global in Grothendieck's section conjecture

The passage from local to global has a long tradition in number theory. The talk will introduce Grothendieck's section conjecture and discuss it regarding the passage from local to global. We will present results on Brauer-Manin obstructions for sections and the relation of the descent obstruction to sections of the fundamental exact sequence. The latter is joint work with David Harari.