10 décembre 2021
XLIM
Fuseau horaire Europe/Paris

Ramification filtration and differential forms

10 déc. 2021, 14:00
1h
XR203 (XLIM)

XR203

XLIM

Orateur

Prof. Victor Abrashkin ((Durham University))

Description

Abstract: Let K be a complete discrete valuation field of characteristic p and let G_K be its absolute Galois group.
If H is a finitely generated $Z _p[G_K]$-module satisfying additional "Lie condition" we describe the images of the ramification subgroups of G_K in the group of automorphisms of H. This description is made in terms of connection and Frobenius matrix for Fontaine's phi-module associated with H.

Documents de présentation

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