@inbook{58274dbb88e949bf97cc3906dae5dcee,

title = "Lectures on Bifunctors and Finite Generation of Rational Cohomology Algebras",

abstract = "This text is an updated version of material used for a course at Universit{\'e} de Nantes, part of {\textquoteleft}Functor homology and applications{\textquoteright}, April 23–27, 2012. The proof [30], [31] by Touz{\'e} 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 Cha{\l}upnik and discuss ingredients of a second generation proof [33] of the existence of the universal classes of Touz{\'e}.",

keywords = "Strict polynomial functor, Schur algebra, Frobenius twist, cohomology algebra, finite generation, formality, reductive, divided power, collapsing spectral sequence, derived category",

author = "{van der Kallen}, W.L.J.",

year = "2015",

month = dec,

day = "9",

doi = "10.1007/978-3-319-21305-7_3",

language = "English",

isbn = "978-3-319-21304-0",

volume = "311",

series = "Progress in Mathematics",

publisher = "Springer",

pages = "41--65",

editor = "Franjou, {Vincent } and Antoine Touz{\'e}",

booktitle = "Lectures on Functor Homology",

address = "Germany",

}