Geometry & Topology Monographs 3 (2000) - Invitation to higher local fields, Part II, section 6, pages 263-272

Phi-Gamma-modules and Galois cohomology

L. 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. Local fields, Galois representations, Galois cohomology.
AMS subject classification. 11S99.

E-print: arXiv:math.NT/0012156

Laurent Herr
Department of mathematics, University of Bordeaux, 351 Cours de la Liberation, 33405 Talence Cedex, France
Email: herr@math.u-bordeaux.fr

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