A proof of the refined Gan-Gross-Prasad conjecture for non-endoscopic Yoshida lifts

Andrew Corbett

Research output: Contribution to journalArticle (Academic Journal)peer-review

3 Citations (Scopus)
327 Downloads (Pure)

Abstract

We prove a precise formula relating the Bessel period of certain automorphic forms on GSp_4(F) to a central L-value. This is a special case of the refined Gan–Gross–Prasad conjecture for the groups (SO_5, SO_2) as set out by Ichino–Ikeda and Liu. This conjecture is deep and hard to prove in full generality; in this paper we succeed in proving the conjecture for forms lifted, via automorphic induction, from GL_2(E) where E is a quadratic extension of F. The case where E = FxF has been previously dealt with by Liu.
Original languageEnglish
Pages (from-to)59-90
Number of pages37
JournalForum Mathematicum
Volume29
Issue number1
Early online date5 May 2016
DOIs
Publication statusPublished - Jan 2017

Keywords

  • Automorphic periods
  • L-values
  • Gan-Gross-Prasad conjectures

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