Publication: Weyl Modules and Opers without Monodromy
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Date
2010
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Springer-Verlag
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Frenkel, Edward, and Dennis Gaitsgory. 2010. "Weyl Modules and Opers without Monodromy." In Arithmetic and geometry around quantization, ed. O. Ceyhan, Y. I. Manin, M. Marcolli, Vol. 279, Progress in Mathematics, 101-121. Cambridge, MA: Birkhauser Boston. doi:10.1007/978-0-8176-4831-2_5.
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.
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geometry, mathematics applications, algebra, mathematical methods, quantum physics, algebraic geometry
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