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Preprints, Working Papers, ... Year : 2021

On the automorphic sheaves for GSp_4

Sergey Lysenko
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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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Dates and versions

hal-03281586 , version 1 (08-07-2021)



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