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

Laurent Herr

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

Number Theory 2007-05-23 v1 Algebraic Geometry

Authors: Laurent Herr

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.

Keywords

phi-gamma-modules galois cohomology local fields p-adic representations hilbert symbol higher local fields

Cite

@article{arxiv.math/0012156,
  title  = {Invitation to higher local fields, Part II, section 6: Phi-Gamma-modules and Galois cohomology},
  author = {Laurent Herr},
  journal= {arXiv preprint arXiv:math/0012156},
  year   = {2007}
}

Comments

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

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