Skip to Main Content

Journal of the American Mathematical Society

Published by the American Mathematical Society, the Journal of the American Mathematical Society (JAMS) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.79.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Corps de nombres peu ramifiés et formes automorphes autoduales
HTML articles powered by AMS MathViewer

by G. Chenevier and L. Clozel PDF
J. Amer. Math. Soc. 22 (2009), 467-519 Request permission


Let $S$ be a finite set of primes, $p$ in $S$, and $\mathbb {Q}_S$ a maximal algebraic extension of $\mathbb {Q}$ unramified outside $S$ and $\infty$. Assume that $|S|\geq 2$. We show that the natural maps \[ \operatorname {Gal}(\overline {\mathbb {Q}_p}/\mathbb {Q}_p) \rightarrow \operatorname {Gal}(\mathbb {Q}_S/\mathbb {Q})\] are injective. Much of the paper is devoted to the problem of constructing self-dual automorphic cuspidal representations of $\operatorname {GL}(2n,\mathbb {A}_{\mathbb {Q}})$ with prescribed properties at all places, which we study via Arthur’s twisted trace formula. The techniques we develop also shed some light on the orthogonal/symplectic alternative for self-dual representations of $\operatorname {GL}(2n)$.
Similar Articles
  • Retrieve articles in Journal of the American Mathematical Society with MSC (2000): 11F70, 11F72, 11F80
  • Retrieve articles in all journals with MSC (2000): 11F70, 11F72, 11F80
Additional Information
  • G. Chenevier
  • Affiliation: Laboratoire Analyse, Géométrie et Applications, UMR 7539, Institut Galilée, Université Paris 13, 99 Av. J-B. Clément, 93430 Villetaneuse, France
  • L. Clozel
  • Affiliation: Centre d’Orsay Mathematique, Université Paris XI, Batiment 425, 91405 Orsay Cedex France
  • Received by editor(s): January 1, 2800
  • Received by editor(s) in revised form: January 1, 2007
  • Published electronically: September 17, 2008
  • Additional Notes: Le deuxième auteur est un membre de l’Institut Universitaire de France
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: J. Amer. Math. Soc. 22 (2009), 467-519
  • MSC (2000): Primary 11F70, 11F72, 11F80
  • DOI:
  • MathSciNet review: 2476781