Noncommutative Kummer theory

Abstract

We discuss lifting properties of continuous homomorphisms from absolute Galois groups into (pro)finite groups. An analogy with the Langlands program is pointed out in the beginning of the note.

LaTeX 2e, 7 pages; written originally as a possible discussion topic for the workshop "Geometric methods in the mod p local Langlands correspondence" in Pisa, June 6-10, 2016