ScalingStacks

Further directions

(1) Most results should also hold with coefficients in characteristic pp by using an equivariant version of the formalism of motivic sheaves developed by Kelly and the first author in [EK19], under a small restriction on the prime p.p.
(2) It should be possible to show that the category of ℓ\ell-adic Springer sheaves DGS​p​r⁡(𝒩,ℚℓ)\operatorname{D}^{Spr}_{G}(\mathcal{N},\mathbb{Q}_{\ell}) is equivalent to the dg-derived category over the formal dg-algebra (Eℓe´​t,d=0)(E^{\acute{e}t}_{\ell},d=0) by combining our results and the techniques of [Sch11b], where equivariant formality for the flag variety is discussed.

Original mathematics by the credited authors. Source collection and HTML conversion remain in progress.

Jens Niklas Eberhardt, Catharina Stroppel

Original source: arXiv:2109.00305v2