Weyl modules and opers without monodromy
Quantum Algebra
2007-11-07 v2 Algebraic Geometry
Representation Theory
Abstract
We prove that the algebra of endomorphisms of a Weyl module of critical level is isomorphic to the algebra of functions on the space of monodromy-free opers on the disc with regular singularity and residue determined by the highest weight of the Weyl module. This result may be used to test the local geometric Langlands correspondence proposed in our earlier work arXiv:math/0508382.
Cite
@article{arxiv.0706.3725,
title = {Weyl modules and opers without monodromy},
author = {Edward Frenkel and Dennis Gaitsgory},
journal= {arXiv preprint arXiv:0706.3725},
year = {2007}
}