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On the automorphic sheaves for GSp_4

Abstract : In this paper we first review the setting for the geometric Langlands functoriality and establish a result for the `backward' functoriality functor. We illustrate this by known examples of the geometric theta-lifting. We then apply the above result to obtain new Hecke eigen-sheaves. The most important application is a construction of the automorphic sheaf for G=GSp_4 attached to a G^L-local system on a curve X such that its standard representation is an irreducible local system of rank 4 on X.
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Preprints, Working Papers, ...
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https://hal.univ-lorraine.fr/hal-03281586
Contributor : Sergey Lysenko <>
Submitted on : Thursday, July 8, 2021 - 12:53:54 PM
Last modification on : Friday, July 9, 2021 - 4:30:23 AM

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autom_sheaves_GSp4_v7.pdf
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  • HAL Id : hal-03281586, version 1
  • ARXIV : 1901.04447

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Sergey Lysenko. On the automorphic sheaves for GSp_4. 2021. ⟨hal-03281586⟩

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