Refined global Gan-Gross-Prasad conjecture for Bessel periods

Refined global Gan-Gross-Prasad conjecture for Bessel periods

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We formulate a refined version of the global Gan-Gross-Prasad conjecture for general Bessel models, extending the work of Ichino-Ikeda and R. N. Harris in the co-rank 1 case. It is an explicit formula relating the automorphic period of Bessel type and the central value of certain L-function. To supp...

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Bibliographic Details
Main Author: Liu, Yifeng (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Walter de Gruyter, 2018-04-10T17:09:56Z.
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Summary:We formulate a refined version of the global Gan-Gross-Prasad conjecture for general Bessel models, extending the work of Ichino-Ikeda and R. N. Harris in the co-rank 1 case. It is an explicit formula relating the automorphic period of Bessel type and the central value of certain L-function. To support such conjecture, we provide two examples for pairs SO₅ × SO₂ and SO₆ × SO₃ (both co-rank 3) in the endoscopic case via theta lifting.
National Science Foundation (U.S.) (Grant DMS-1302000)

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