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4
votes
Accepted
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 …
4
votes
Accepted
Do the following two filtrations of the affine Grassmannian agree?
This statement isn't true; as you've currently defined everything, your $X_i$ are infinite dimensional (in fact they are unions of connected components.) You want instead to take the $X_i$ unions of $ …