Vol. 306, No. 1, 2020

Download this article
Download this article For screen
For printing
Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
On the global Gan–Gross–Prasad conjecture for general spin groups

Melissa Emory

Vol. 306 (2020), No. 1, 115–151
Abstract

We formulate a global Gan–Gross–Prasad conjecture for general spin groups. That is, we formulate a conjecture on a relation between periods of certain automorphic forms on GSpinn+1 × GSpinn along the diagonal subgroup GSpinn and some L-values. To support the conjecture, we show that the conjecture holds for n = 2 and 3 and for certain cases for n = 4.

Keywords
periods of automorphic forms, $L$-values, Gan–Gross–Prasad conjecture
Mathematical Subject Classification 2010
Primary: 11F70
Secondary: 22E55
Milestones
Received: 19 February 2019
Revised: 22 October 2019
Accepted: 12 December 2019
Published: 14 June 2020
Authors
Melissa Emory
Department of Mathematics
University of Toronto
Toronto ON
Canada