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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

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Is there a good account of D-affinity and localization theorem for partial flag varieties?

None of these quite fit the bill, but they might be a start: Thm. 1.9 in Differential Operators on Homogeneous Spaces III by Borho and Brylinski (don't miss the footnote!) Prop. 8.2.1 and Thm. 8.3.1 …
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