Parameters and duality for the metaplectic geometric Langlands theory
Algebraic Geometry
2022-12-22 v7
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.)
Keywords
Cite
@article{arxiv.1608.00284,
title = {Parameters and duality for the metaplectic geometric Langlands theory},
author = {D. Gaitsgory and S. Lysenko},
journal= {arXiv preprint arXiv:1608.00284},
year = {2022}
}
Comments
This is a revised version of the paper, which corrects some significant mistakes in the earlier ones