On the automorphic sheaves for GSp_4

Sergey Lysenko

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arXiv · 1901.04447

On the automorphic sheaves for GSp_4

Sergey Lysenko

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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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Sergey Lysenko. 2019-01-14. On the automorphic sheaves for GSp_4. https://arxiv.org/abs/1901.04447

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