Notes on Cohomology
Luis Arenas-Carmona
TL;DR
This paper reviews various applications of Galois cohomology to classify algebraic and arithmetical objects, combining historical and recent insights.
Contribution
It provides a comprehensive collection of old and new applications of Galois cohomology in algebraic and arithmetic classification.
Findings
New applications of Galois cohomology are discussed.
Classifications of algebraic objects are improved.
Historical context of cohomology methods is provided.
Abstract
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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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology · Algebraic Geometry and Number Theory