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Orthogonal root numbers of tempered parameters

Published version
Peer-reviewed

Type

Article

Change log

Abstract

We show that an orthogonal root number of a tempered L-parameter decomposes as the product of two other numbers: the orthogonal root number of the principal parameter and the value on a certain involution of Langlands's central character for the parameter. The formula resolves a conjecture of Gross and Reeder and computes root numbers of Weil-Deligne representations arising in the work of Hiraga, Ichino, and Ikeda on the Plancherel measure.

Description

Keywords

math.NT, math.NT, math.RT

Journal Title

Mathematische Annalen

Conference Name

Journal ISSN

0025-5831
1432-1807

Volume Title

Publisher

Springer Science and Business Media LLC
Sponsorship
Royal Society (URF\R1\201196)
National Science Foundation RTG grant DMS 1840234