Extends the bimodule description of perverse sheaves from the thin to the thick affine flag variety and proves the image of any convolution-exact perverse sheaf in the Iwahori-Whittaker category is tilting, resolving the Arkhipov-Bezrukavnikov conjecture.
On tensor categories attached to cells in affine W eyl groups
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Perverse sheaves and t-structures on the thin and thick affine flag varieties
Extends the bimodule description of perverse sheaves from the thin to the thick affine flag variety and proves the image of any convolution-exact perverse sheaf in the Iwahori-Whittaker category is tilting, resolving the Arkhipov-Bezrukavnikov conjecture.