In good characteristic, the stalks of intersection cohomology complexes on Drinfeld's compactifications and Zastava schemes are described by the q-analogue of Kostant's partition function, independently of the coefficient field.
Gaitsgory,The semi-infinite intersection cohomology sheaf, Adv
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Modular intersection cohomology of Drinfeld's compactifications
In good characteristic, the stalks of intersection cohomology complexes on Drinfeld's compactifications and Zastava schemes are described by the q-analogue of Kostant's partition function, independently of the coefficient field.