affine grassmannian 1drinfeld compactification 1geometric langlands 1ic sheaves 1moduli of bundles 1parabolic groups 1
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math.RT2026
Semi-infinite parabolic IC-sheaf
G. Dhillon, S. Lysenko
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 compactifi…
math.RT2025
Semi-infinite parabolic IC-sheaf II: the Ran space version
Gurbir Dhillon, Sergey Lysenko
This paper is a sequel to arXiv:2310.0638. Let G be a split reductive group. We define the parabolic semi-infinite category on the Ran version of the affine Grassmanian Gr_{G,Ran}.…