Parameters and duality for the metaplectic geometric Langlands theory

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.)

This is a revised version of the paper, which corrects some significant mistakes in the earlier ones

References in corpus (3)

• Higher Topos Theory
• Quantum Langlands Correspondence
• The Atiyah-Bott formula for the cohomology of the moduli space of bundles on a curve

Cited by in corpus (3)

• Duality group actions on fermions
• Extensions by ${\mathbf{K}}_2$ and factorization line bundles
• Geometric Waldspurger periods II