Thu, 29 Oct 2015
17:30
17:30
L6
Joint Number Theroy/Logic Seminar: A minimalistic p-adic Artin-Schreier
Florian Pop
(University of Pennsylvania)
Abstract
In contrast to the Artin-Schreier Theorem, its p-adic analog(s) involve infinite Galois theory, e.g., the absolute Galois group of p-adic fields. We plan to give a characterization of p-adic p-Henselian valuations in an essentially finite way. This relates to the Z/p metabelian form of the birational p-adic Grothendieck section conjecture.