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Pré-Publication, Document De Travail Année : 2022

ALGEBRAIC CYCLES AND FUNCTORIAL LIFTS FROM G2 TO PGSp6

Résumé

We establish instances of Beilinson-Tate conjectures for automorphic representations of PGSp 6 whose Spin L-function has a pole at s = 1. Using the exceptional theta correspondence between the split group of type G2 and PGSp 6 and assuming the non-vanishing of a certain archimedean integral, this allows us to confirm a conjecture of Gross and Savin on rank 7 motives of type G2.
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Dates et versions

hal-03991957 , version 1 (16-02-2023)

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  • HAL Id : hal-03991957 , version 1

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Antonio Cauchi, Francesco Lemma, Joaquín Rodrigues. ALGEBRAIC CYCLES AND FUNCTORIAL LIFTS FROM G2 TO PGSp6. 2023. ⟨hal-03991957⟩
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