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Endoscopic Classification of representations of Quasi-Split Unitary Groups


About this Title

Chung Pang Mok

Publication: Memoirs of the American Mathematical Society
Publication Year: 2015; Volume 235, Number 1108
ISBNs: 978-1-4704-1041-4 (print); 978-1-4704-2226-4 (online)
DOI: http://dx.doi.org/10.1090/memo/1108
Published electronically: October 21, 2014

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Table of Contents


Chapters

  • Chapter 1. Introduction
  • Chapter 2. Statement of the main theorems
  • Chapter 3. Local character identities and the intertwining relation
  • Chapter 4. Trace formulas and their stabilization
  • Chapter 5. The Standard model
  • Chapter 6. Study of Critical Cases
  • Chapter 7. Local Classification
  • Chapter 8. Nontempered representations
  • Chapter 9. Global classification
  • Chapter 10. Addendum

Abstract


In this paper we establish the endoscopic classification of tempered representations of quasi-split unitary groups over local fields, and the endoscopic classification of the discrete automorphic spectrum of quasi-split unitary groups over global number fields. The method is analogous to the work of Arthur on orthogonal and symplectic groups, based on the theory of endoscopy and the comparison of trace formulas on unitary groups and general linear groups.

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