Not as fun as it sounds (I think); used by Friedlander and Suslin in http://www.math.uiuc.edu/K-theory/0085 to compute cohomology of finite group schemes.
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AG (Algebraic geometry)?, CT (Category theory)?
Cat
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
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de Scorichenko from arXiv Front: math.AT by Aurélien Djament The ain of this note is to make available the unpublished proof of Scorichenko of the isomorphism between stable K-theory and functor homology for polynomial coefficients over an arbitrary ring.
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).
nLab page on Functor cohomology