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.