8. Arkhipov–Bezrukavnikov–Ginzburg

Problem 8.1.
[Nakano] Is there a version of the derived equivalences of Arkhipov–Bezrukavnikov–Ginzburg that applies when $\ell$ (the order of the root of unity) is less than or equal to $h$ (the Coxeter number)?
 Same question for singular blocks rather than the principal block.
Cite this as: AimPL: Sheaves and modular representations of reductive groups, available at http://aimpl.org/sheavemodular.