Lectures on Bifunctors and Finite Generation of Rational Cohomology Algebras
Publication date
2015-12-09
Authors
van der Kallen, W.L.J.
Editors
Franjou, Vincent
Touzé, Antoine
Advisors
Supervisors
Document Type
Part of book
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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 [30], [31] 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 of Chałupnik and discuss ingredients of a second generation proof [33] of the existence of the universal classes of Touzé.
Keywords
Strict polynomial functor, Schur algebra, Frobenius twist, cohomology algebra, finite generation, formality, reductive, divided power, collapsing spectral sequence, derived category, Taverne
Citation
van der Kallen, W L J 2015, Lectures on Bifunctors and Finite Generation of Rational Cohomology Algebras. in V Franjou & A Touzé (eds), Lectures on Functor Homology. vol. 311, Progress in Mathematics, vol. 311, Springer, pp. 41-65. https://doi.org/10.1007/978-3-319-21305-7_3