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Langlands duality on the Beilinson-Drinfeld Grassmannian

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arxiv 2310.19734 v2 pith:XBXBHEEG submitted 2023-10-30 math.RT math.AG

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keywords grassmannianlanglandsbeilinson-drinfeldcalculatecategoriesdualfactorizationsheaves
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We calculate various categories of equivariant sheaves on the Beilinson-Drinfeld Grassmannian in Langlands dual terms. For one, we obtain the factorizable derived geometric Satake theorem. More generally, we calculate the categorical analogue of unramified vectors in the Jacquet module of sheaves on the Grassmannian. In all cases, our spectral categories involve factorization modules for factorization algebras related to the Langlands dual group.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Parabolic geometric Eisenstein series and constant term functors

    math.RT 2025-07 conditional novelty 8.0 of 10

    This paper proves that parabolic Jacquet functors on Whittaker categories match restriction and Lie algebra cohomology of representations under the geometric Casselman-Shalika equivalence.

  2. Modular intersection cohomology of Drinfeld's compactifications

    math.RT 2025-05 accept novelty 6.0 of 10

    In good characteristic, the stalks of intersection cohomology complexes on Drinfeld's compactifications and Zastava schemes are described by the q-analogue of Kostant's partition function, independently of the coeffic...

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