Parameters and duality for the metaplectic geometric Langlands theory

By D. Gaitsgory, S. Lysenko. 2016

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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).

Subfields: Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7a31b06a7f34d82829019d0b76b7c53405def2af