Corpus ID: 202124043

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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