Lectures on Bifunctors and Finite Generation of Rational Cohomology Algebras

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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.
Original languageEnglish
Title of host publicationLectures on Functor Homology
EditorsVincent Franjou, Antoine Touzé
PublisherSpringer
Pages41-65
Number of pages24
Volume311
ISBN (Electronic)978-3-319-21305-7
ISBN (Print)978-3-319-21304-0
DOIs
Publication statusPublished - 9 Dec 2015

Publication series

NameProgress in Mathematics
PublisherSpringer International Publishing
Volume311
ISSN (Print)0743-1643

Keywords

  • Strict polynomial functor
  • Schur algebra
  • Frobenius twist
  • cohomology algebra
  • finite generation
  • formality
  • reductive
  • divided power
  • collapsing spectral sequence
  • derived category

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