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The pro-$p$ Hom-form of the birational anabelian conjecture

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

Non-Abelian Fundamental Groups in Arithmetic Geometry

In this talk we will indicate a proof of the pro-$p$ Hom-form of Grothendieck’s birational anabelian conjecture for function fields over sub-$p$-adic fields. The proof uses Kummer Theory and projective geometry to deduce the result from Mochizuki’s Theorem in the case of transcendence degree 1. This is joint work with Florian Pop.

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

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