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On the birational p-adic section conjecture

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If you have a question about this talk, please contact Mustapha Amrani.

Non-Abelian Fundamental Groups in Arithmetic Geometry

I 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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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