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arXiv · 2310.06386

Semi-infinite parabolic IC-sheaf

G. Dhillon·S. Lysenko
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Abstract

Let G be a connected reductive group, P its parabolic subgroup. We consider the parabolic semi-infinite category of sheaves on the affine Grassmanian of G and construct the parabolic version of the semi-infinite IC-sheaf of each orbit. We establish some of its properties and relate it to sheaves on the Drinfeld compactification of the moduli stack Bun_P of P-torsors on a curve. We also relate the parabolic semi-infinite IC-sheaf with the dual baby Verma object on the spectral side.

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G. Dhillon, S. Lysenko. 2023-10-10. Semi-infinite parabolic IC-sheaf. https://arxiv.org/abs/2310.06386

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