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

Corry, S *(Lawrence)*

Tuesday 04 August 2009, 14:00-15:00

Seminar Room 1, Newton Institute

#### Abstract

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.

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