Functor cohomology
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General Introduction
Not as fun as it sounds (I think); used by Friedlander and Suslin in K0085 to compute cohomology of finite group schemes.
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Search results
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Online References
arXiv:1208.3097 Nantes lectures on bifunctors and CFG from arXiv Front: math.CT by Wilberd van der Kallen This is material for a course at Université de Nantes, part of `Functor homology and applications', April 23-27, 2012. The proof by Touzé of my conjecture on cohomological finite generation (CFG) has been one of the successes of functor homology. We will not treat this proof in any detail. Instead we will focus on a formality conjecture that aims at a second generation proof (and more).
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Paper References
Pirashvili: Introduction to functor homology. In the following book: Franjou, Friedlander, Pirashvili, Schwartz: Rational representations, the Steenrod algebra and functor homology. Panoramas et Synth. 16. Société Mathématique de France, Paris, 2003. xxii+132 pp. ISBN: 2-85629-159-7
E_n homology as functor homology http://front.math.ucdavis.edu/0907.1283
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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
arXiv:0908.4492 Autour des résultats d'annulation cohomologique de Scorichenko from arXiv Front: math.AT by Aurélien Djament The ain of this note is to make available the unpublished proof of Scorichenko of the isomorphism between stable K-theory and functor homology for polynomial coefficients over an arbitrary ring.
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Other Information
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