Galois cohomology

General Introduction
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Search results
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Online References
arXiv:1009.2181 Notes on Cohomology from arXiv Front: math.NT by Luis ArenasCarmona This work is a collection of old and new aplications of Galois cohomology to the clasification of algebraic and arithmetical objects.
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Paper References
Serre: Galois cohomology.
See also a survey article by Serre in Asterisque (1995) on "Progres et Problemes" or something like that.
Kato: Galois cohomology of complete discrete valuation fields. LNM 967 (1982)
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Definition
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Properties
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Standard theorems
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Open Problems
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Connections to Number Theory
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Computations and Examples
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History and Applications
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Some Research Articles
Algebraic varieties, Kgroups and the Hasse principle, by Cristian D. GonzalezAviles: K0662
Quotients of absolute Galois groups which determine the entire Galois cohomology by Chebolu et al http://arxiv.org/abs/0905.1364
arXiv:1208.6359 Localglobal principles for Galois cohomology from arXiv Front: math.NT by David Harbater, Julia Hartmann, Daniel Krashen This paper proves localglobal principles for Galois cohomology groups over function fields $F$ of curves that are defined over a complete discretely valued field. We show in particular that such principles hold for $H^n(F, Z/mZ(n1))$, for all $n>1$. This is motivated by work of Kato and others, where such principles were shown in related cases for $n=3$. Using our results in combination with cohomological invariants, we obtain localglobal principles for torsors and related algebraic structures over $F$. Our arguments rely on ideas from patching as well as the BlochKato conjecture.
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Other Information
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