Weyl modules and opers without monodromy

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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.
18 pages

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Quantum Algebra, Algebraic Geometry, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/141509

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.3725
 http://arxiv.org/abs/0706.3725

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arXiv