2015/12/31 by Chałupnik, Marcin
#18A25 #18A40 #18G15 #18G55 #55P42 #FOS: Mathematics #K-Theory and Homology (math.KT)
paper · doi:10.48550/arxiv.1512.09285
We compare derived categories of the category of strict polynomial functors over a finite field and the category of ordinary endofunctors on the category of vector spaces. We introduce two intermediate categories: the category of ∞--affine strict polynomial functors and the category of spectra of strict polynomial functors. They provide a conceptual framework for compuational theorems of Franjou--Friedlander--Scorichenko--Suslin and clarify the role of inverting Frobenius morphism in comparing rational and discrete cohomology.