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arXiv · 1608.00284

Parameters and duality for the metaplectic geometric Langlands theory

D. Gaitsgory·S. Lysenko
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Abstract

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 ref. Ga5 (Theorem 4.5.2 in loc. cit.)

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D. Gaitsgory, S. Lysenko. 2016-08-01. Parameters and duality for the metaplectic geometric Langlands theory. https://arxiv.org/abs/1608.00284

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