6. Center of $\mathrm{Rep}_0G$
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Problem 6.1.
[Shan] Is there a geometric description of the center of $\mathrm{Rep}_0G$? Possibly related to affine Springer fibers? -
Problem 6.2.
[Williamson] Does this help to describe the center of $\operatorname{Dist}(G)$?
Cite this as: AimPL: Sheaves and modular representations of reductive groups, available at http://aimpl.org/sheavemodular.