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Metaplectic Whittaker category and quantum groups : the "small" FLE

Abstract : We prove that the category of Hecke eigensheaves in the metaplectic Whittaker category of the affine Grassmannian is equivalent to the category of modules over the small quantum group. This a step towards proving the FLE: the fundamental local equivalence in the quantum geometric Langlands theory.
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Preprints, Working Papers, ...
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https://hal.univ-lorraine.fr/hal-03281579
Contributor : Sergey Lysenko <>
Submitted on : Thursday, July 8, 2021 - 12:45:31 PM
Last modification on : Friday, July 9, 2021 - 4:30:23 AM

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  • HAL Id : hal-03281579, version 1
  • ARXIV : 1903.02279

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D. Gaitsgory, Sergey Lysenko. Metaplectic Whittaker category and quantum groups : the "small" FLE. 2021. ⟨hal-03281579⟩

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