Semi-infinite parabolic IC-sheaf
arXiv:2310.06386
The authors construct and study a parabolic version of the semi‑infinite IC‑sheaf on the affine Grassmannian for a reductive group, linking it to sheaves on the Drinfeld compactification of the moduli stack of parabolic bundles and to the dual baby Verma object on the spectral side.
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.
98p