Chalupnik's formality conjecture for derived Frobenius twists
Chalupnik's formality conjecture for derived Frobenius twists
Let be a field of characteristic , let be a nonnegative integer, and let belong to the category of homogeneous strict polynomial functors of degree . Let denote its -th Frobenius twist, let be the relevant derived functor, and let be the graded vector space of dimension that is equal to in dimensions for and zero otherwise. Chalupnik's formality conjecture.
in the bounded derived category of strict polynomial functors. In particular, is formal. The source does not provide evidence resolving this conjecture, so its status remains open.
Sources & referencesView supporting material
Primary source
Wilberd van der Kallen, “Lectures on bifunctors and finite generation of rational cohomology algebras”, arXiv:1208.3097 (2014).
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