Speaker: Lidor Eldabbah
(Tel-Aviv University):
Title:
The Neukirch-Uchida Theorem

Abstract:
I will present a proof of the most basic result in anabelian geometry, known as the Neukirch-Uchida theorem.

Let K and L be number fields. Then (the theorem says that) isomorphisms between the absolute Galois groups of K and L, up to inner automorphisms, correspond uniquely to isomorphisms between L and K.

In particular, the absolute Galois group of a number field characterizes it up to an isomorphism.