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Local opers with two singularities: the case of \(\mathfrak{sl}(2)\)

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Publication:2165926
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DOI10.1007/s00220-022-04430-wOpenAlexW4284989695MaRDI QIDQ2165926

Andrea Maffei, Giorgia Fortuna, Davide Lombardo, Valerio Melani

Publication date: 23 August 2022

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.01858



Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Arithmetic algebraic geometry (Diophantine geometry) (11Gxx) Lie groups (22Exx)




Cites Work

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  • Fusion and convolution: applications to affine Kac-Moody algebras at the critical level
  • Geometric realizations of Wakimoto modules at the critical level
  • Localization of \(\mathfrak g\)-modules on the affine Grassmannian
  • \(D\)-modules on the affine Grassmannian and representations of affine Kac-Moody algebras
  • Weyl Modules and Opers without Monodromy
  • Local Geometric Langlands Correspondence: the Spherical Case
  • AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS
  • Local geometric Langlands correspondence and affine Kac-Moody algebras
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