Refined global Gan-Gross-Prasad conjecture for Bessel periods

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...

Full description

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, 2018-04-03T16:53:46Z.
Subjects:
Online Access:Get fulltext
LEADER 01030 am a22001693u 4500
001 114508
042 |a dc 
100 1 0 |a Liu, Yifeng  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Mathematics  |e contributor 
100 1 0 |a Liu, Yifeng  |e contributor 
245 0 0 |a Refined global Gan-Gross-Prasad conjecture for Bessel periods 
260 |b Walter de Gruyter,   |c 2018-04-03T16:53:46Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/114508 
520 |a 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. 
546 |a en_US 
655 7 |a Article 
773 |t Journal für die reine und angewandte Mathematik (Crelles Journal)