On the global Gan–Gross–Prasad conjecture for general spin groups

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 ${GSpin}_{n + 1} \times {GSpin}_{n}$ along the diagonal subgroup ${GSpin}_{n}$ and some $L$ -values. To support the conjecture, we show that the conjecture holds for $n = 2$ and $3$ and for certain cases for $n = 4$ .

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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

Vol. 306, No. 1, 2020

Melissa Emory

Abstract

PDF Access Denied

Keywords

Mathematical Subject Classification 2010

Milestones

Authors