The semi-infinite intersection cohomology sheaf

2017/03/12 by Gaitsgory, Dennis · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1703.04199

Abstract

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. We relate it to several other entities naturally appearing in the geometric Langlands theory.

Cited by

• On a tamely ramified local relative Langlands conjecture via categorical representations
• Modular intersection cohomology of Drinfeld's compactifications

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