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COMPARISON OF LOCAL RELATIVE CHARACTERS AND THE ICHINO–IKEDA CONJECTURE FOR UNITARY GROUPS

Part of: Lie groups Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  22 January 2020

Raphaël Beuzart-Plessis Open the ORCID record for Raphaël Beuzart-Plessis [Opens in a new window]
Raphaël Beuzart-Plessis*
Affiliation:
Université d’Aix-Marseille, I2M-CNRS(UMR 7373), Campus de Luminy, 13288Marseille Cédex 9, France (rbeuzart@gmail.com)
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Abstract

In this paper, we prove a conjecture of Wei Zhang on comparison of certain local relative characters from which we draw some consequences for the Ichino–Ikeda conjecture for unitary groups.

Keywords

relative trace formularelative charactersIchino–Ikeda conjectureautomorphic representationsunitary groups

MSC classification

Primary: 22E50: Representations of Lie and linear algebraic groups over local fields 22E55: Representations of Lie and linear algebraic groups over global fields and adèle rings
Secondary: 11F70: Representation-theoretic methods; automorphic representations over local and global fields
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 20 , Issue 6 , November 2021 , pp. 1803 - 1854
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Copyright
© Cambridge University Press 2020

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