Twisted geometric Langlands correspondence for a torus

Sergey Lysenko (1)

1 IECL - Institut Élie Cartan de Lorraine

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 developed 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).

Domaines: Théorie des représentations [math.RT]

Sergey Lysenko. Twisted geometric Langlands correspondence for a torus. international mathematical research notices, 2014, 2015 (18), pp.8680-8723. ⟨10.1093/imrn/rnu220⟩. ⟨hal-01227148⟩