2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60588This 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.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.htmlNumber TheoryAlgebraic Geometry11S99Invitation to higher local fields, Part II, section 6: Phi-Gamma-modules and Galois cohomologytext