# An analytic version of the Langlands correspondence for complex curves

@article{Etingof2019AnAV, title={An analytic version of the Langlands correspondence for complex curves}, author={P. Etingof and E. Frenkel and D. Kazhdan}, journal={arXiv: Algebraic Geometry}, year={2019} }

The Langlands correspondence for complex curves is traditionally formulated in terms of sheaves rather than functions. Recently, Langlands asked whether it is possible to construct a function-theoretic version. In this paper we use the algebra of commuting global differential operators (quantum Hitchin Hamiltonians and their complex conjugates) on the moduli space of G-bundles of a complex algebraic curve to formulate a function-theoretic correspondence. We conjecture the existence of a… Expand

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