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4 votes
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Drinfeld Sokolov and the semiinfinite flag variety

Maybe let me try to synthesize my comments into an answer. All of this is contained in Raskin's beautiful paper arxiv.org/abs/1611.04937 on Whittaker categories. Convention: We work here in the derive …
dhy's user avatar
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2 votes
Accepted

Decategorification of Gaitsgory's strange functional equation?

This is essentially the question studied in https://arxiv.org/abs/1503.04705v4. A (possibly wrong) comment: Unlike $\operatorname{Eis}_*$, which decategorifes (under Drinfeld-Wang's conventions) to t …
dhy's user avatar
  • 5,958
28 votes
2 answers
3k views

Proofs of Beilinson-Bernstein

The Beilinson-Bernstein localization theorem states roughly that the category of $D$-modules on the flag variety $G/B$ is equivalent to the category of modules over the universal enveloping algebra $U …
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8 votes

How should I think about the Grothendieck-Springer alteration?

The answer to 1) is that this is a special case of a broader phenomenon for symplectic resolutions (though I think some features are specific to the Grothendieck-Springer case.) For instance you have …
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