• Corpus ID: 235742741

Orthogonal Root Numbers of Tempered Parameters

@inproceedings{Schwein2021OrthogonalRN,
  title={Orthogonal Root Numbers of Tempered Parameters},
  author={David Schwein},
  year={2021}
}
We show that an orthogonal root number of a tempered L-parameter φ 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 φ. The formula resolves a conjecture of Gross and Reeder and computes root numbers of WeilDeligne representations arising in the work of Hiraga, Ichino, and Ikeda on the Plancherel measure. 

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