Twisted geometric Langlands correspondence for a torus

Abstract

Let T be a split torus over local or global function field. The theory of Brylinski-Deligne gives rise to the metaplectic central extensions of T by a finite cyclic group. The representation theory of these metaplectic tori has been developped to some extent in the works of M. Weissman, G. Savin, W. T. Gan, P. McNamara and others. In this paper we propose a geometrization of this theory in the framework of the geometric Langlands program (in the everywhere nonramified case).

35 pages, v4: minor corrections

References in corpus (1)

• Quantum Langlands duality and conformal field theory

Cited by in corpus (2)

• Fundamental local equivalences in quantum geometric Langlands
• Twisted Whittaker models for metaplectic groups