Orthogonal root numbers of tempered parameters
Published version
Peer-reviewed
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Repository DOI
Change log
Authors
Schwein, D https://orcid.org/0000-0001-9679-3030
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
1432-1807
Volume Title
Publisher
Springer Science and Business Media LLC
Publisher DOI
Sponsorship
Royal Society (URF\R1\201196)
National Science Foundation RTG grant DMS 1840234