Lectures on bifunctors and finite generation of rational cohomology algebras

Abstract

This text is an updated version of material used 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 the original proof in any detail. Instead we will focus on a formality conjecture of Chałupnik that leads to second generation proof of the existence of the universal classes of Touzé.

30 pages; title changed

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