Parameters and duality for the metaplectic geometric Langlands theory

We introduce the space of parameters for the metaplectic Langlands theory as factorization gerbes on the affine Grassmannian, and develop metaplectic Langlands duality in the incarnation of the metaplectic geometric Satake functor. We formulate a conjecture in the context of the global metaplectic L...

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Bibliographic Details
Published in:Selecta mathematica (Basel, Switzerland) Switzerland), 2018-03, Vol.24 (1), p.227-301
Main Authors: Gaitsgory, D., Lysenko, S.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Parameters
Theorems
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Summary:We introduce the space of parameters for the metaplectic Langlands theory as factorization gerbes on the affine Grassmannian, and develop metaplectic Langlands duality in the incarnation of the metaplectic geometric Satake functor. We formulate a conjecture in the context of the global metaplectic Langlands theory, which is a metaplectic version of the “vanishing theorem” of Gaitsgory (Astérisque 370:1–112, 2015 , Theorem 4.5.2).
ISSN:1022-1824
1420-9020
DOI:10.1007/s00029-017-0360-4