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We introduce the semi-infinite category of sheaves on the affine Grassmannian, and construct a particular object in it, which we call the the semi-infinite intersection cohomology sheaf.
G. Lusztig, Hecke algebras and Jantzen?s generic decomposition patterns
1980
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B. Feigin, M. Finkelberg, A. Kuznetsov, I. Mirković Semi-infinite flags II , The AMS Translations 194
1999
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A. Braverman, M. Finkelberg, D. Gaitsgory and I. Mirkovic, Intersection cohomology of Drinfeld compactifications
2002
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T. Braden, Hyperbolic localization of Intersection Cohomology
2003
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S. Arkhipov, R. Bezrukavnikov and V. Ginzburg, Quantum groups, the loop Grassmannian and the Springer resolution
2004
Cited alongside, same era.
S. Arkhipov, R. Bezrukavnikov, A. Braverman, D. Gaitsgory and I. Mirković, Modules over the quantum group and semi-infinite flag manifold
2005
Cited alongside, same era.
Cited in the paper.
D. Gaitsgory, Eisenstein series and quantum groups
Cited in the paper.
D. Gaitsgory, The semi-infinite intersection cohomology sheaf–II
Cited in the paper.
D. Gaitsgory and S. Lysenko, Twisted Whittaker category and quantum groups
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D. Gaitsgory and N. Rozenblyum, A study in derived algebraic geometry
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S. Raskin, Chiral principal series categories II: the factorizable Whittaker category
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A. Braverman, D. Gaitsgory, Deformations of local systems and Eisenstein series
2008
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E. Frenkel and D. Gaitsgory, Localization of 𝔤 ^ \widehat{\mathfrak{g}} -modules on the affine Grassmannian
2009
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J. Lurie, Higher Topos Theory
2009
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