On the birational p-adic section conjecture
Seminar Room 1, Newton Institute
AbstractI plan to explain Grothendieck's section conjecture, which relates rational points of (completions of) hyperbolic curves to conjugacy classes of sections of the canonical projection between fundamental groups. I will explain a few variants of this conjecture (birational, p-adic), and finally discuss the status of the art of the conjecture.
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