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The analytic Langlands correspondence describes the solution to the spectral problem for the quantised Hitchin Hamiltonians.
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B. Enriquez and V. Rubtsov, Quantizations of the Hitchin and Beauville-Mukai integrable systems
2005
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S. Ribault and J. Teschner, H+(3)-WZNW correlators from Liouville theory
2005
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C. Guillarmou, A. Kupiainen, R. Rhodes, and V. Vargas, Conformal bootstrap in Liouville Theory
2005
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V. V. Fock and A. B. Goncharov, Moduli spaces of local systems and higher Teichmuller theory
2006
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A. Kapustin and E. Witten, Electric-Magnetic Duality And The Geometric Langlands Program
2007
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hep-th/0512172
E. Frenkel, Lectures on the Langlands program and conformal field theory · 2007
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2015
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N. Iorgov, O. Lisovyy, and J. Teschner, Isomonodromic tau-functions from Liouville conformal blocks
2015
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I. Coman, M. Gabella, and J. Teschner, Line operators in theories of class 𝒮 \mathcal{S} , quantized moduli space of flat connections, and Toda field theory
2015
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D. Gaitsgory, Quantum Langlands Correspondence
2016
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E. Frenkel, S. Gukov, and J. Teschner, Surface Operators and Separation of Variables
2016
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F. David, A. Kupiainen, R. Rhodes, and V. Vargas, Liouville quantum gravity on the Riemann sphere
2016
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F. David, R. Rhodes, and V. Vargas, Liouville quantum gravity on complex tori
2016
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P. Menotti, Classical conformal blocks
2016
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D. Allegretti and H. K. Kim, A duality map for quantum cluster varieties from surfaces
2017
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Oxford University Press, Oxford, 2018
J. Teschner, Quantisation conditions of the quantum Hitchin system and the real geometric Langlands correspondence · 2018
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2018
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V. Mikhaylov, Teichmüller TQFT vs. Chern-Simons theory
2018
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J. Przytycki and A. Sikora, Skein algebras of surfaces
2019
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D. Gaiotto and M. Rapčák, Vertex Algebras at the Corner
2019
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C. Guillarmou, R. Rhodes, and V. Vargas, Polyakov’s formulation of 2 d 2d bosonic string theory
2019
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M. Piatek and A. R. Pietrykowski, Solving Heun’s equation using conformal blocks
2019
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T. Figiel, Quantisation of the Hitchin system from loop operator expectation values
2020
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D. Allegretti and T. Bridgeland, The monodromy of meromorphic projective structures
2020
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2020
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A. Kupiainen, R. Rhodes, and V. Vargas, Integrability of Liouville theory: proof of the DOZZ Formula
2020
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AMS, 2021
P. Etingof, E. Frenkel, and D. Kazhdan, An analytic version of the Langlands correspondence for complex curves · 2021
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2021
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C. Meneses and L. A. Takhtajan, Logarithmic Connections, WZNW Action, and Moduli of Parabolic Bundles on the Sphere
2021
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N. Nekrasov and A. Tsymbaliuk, Surface defects in gauge theory and KZ equation
2022
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P. Etingof, E. Frenkel, and D. Kazhdan, Analytic Langlands correspondence for P G L ( 2 ) PGL(2) on P 1 P^{1} with parabolic structures over local fields
2022
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T. Sérandour, Meromorphic projective structures, opers and monodromy
2023
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P. Etingof, E. Frenkel, and D. Kazhdan, Hecke operators and analytic Langlands correspondence for curves over local fields
2071
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