Weyl modules and opers without monodromy

Details Weyl modules and opers without monodromy Weyl modules and opers without monodromy

2007-06-25

arxiv.org/abs/0706.3725v2

Mathematics

Quantum Algebra

18 pages

Scientific paper

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.

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