Invitation to higher local fields, Part II, section 6: Phi-Gamma-modules and Galois cohomology

2000/12/18 by Laurent Herr
Mathematics · #math.NT #math.AG #msc:11S99

paper · pdf

published as Geom. Topol. Monogr. Volume 3(2000) 263-272 · For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon3/m3-II-6.abs.html

arxiv created 2000/12/18 · arxiv updated 2009/11/30

Abstract

This is is a survey of applications of Fontaine's theory of p-adic representations of local fields (Phi-Gamma-modules) to Galois cohomology of local fields and explicit formulas for the Hilbert symbol in relation with two-dimensional local objects.

Related

• Galois cohomology of a p-adic field via (Φ,Γ)-modules in the imperfect residue field case
• Relative p-adic Hodge theory, II: (phi, Gamma)-modules
• Cohomology of (φ, τ)-modules
• New methods for (phi, Gamma)-modules
• Invitation to higher local fields, Part I, section 2: p-primary part of the Milnor K-groups and Galois cohomology of fields of characteristic p