A remark on Construire un noyau de la fonctorialité by Lafforgue

Hervé Jacquet[1]

  • [1] Columbia University Dept. of Mathematics MC 4408 Broadway New York, NY 10027, (USA)

Annales de l’institut Fourier (2012)

  • Volume: 62, Issue: 3, page 899-935
  • ISSN: 0373-0956

Abstract

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Lafforgue has proposed a new approach to the principle of functoriality in a test case, namely, the case of automorphic induction from an idele class character of a quadratic extension. For technical reasons, he considers only the case of function fields and assumes the data is unramified. In this paper, we show that his method applies without these restrictions. The ground field is a number field or a function field and the data may be ramified.

How to cite

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Jacquet, Hervé. "A remark on Construire un noyau de la fonctorialité by Lafforgue." Annales de l’institut Fourier 62.3 (2012): 899-935. <http://eudml.org/doc/251063>.

@article{Jacquet2012,
abstract = {Lafforgue has proposed a new approach to the principle of functoriality in a test case, namely, the case of automorphic induction from an idele class character of a quadratic extension. For technical reasons, he considers only the case of function fields and assumes the data is unramified. In this paper, we show that his method applies without these restrictions. The ground field is a number field or a function field and the data may be ramified.},
affiliation = {Columbia University Dept. of Mathematics MC 4408 Broadway New York, NY 10027, (USA)},
author = {Jacquet, Hervé},
journal = {Annales de l’institut Fourier},
keywords = {Functoriality; Weil representation; Converse theorem; functoriality; converse theorem},
language = {eng},
number = {3},
pages = {899-935},
publisher = {Association des Annales de l’institut Fourier},
title = {A remark on Construire un noyau de la fonctorialité by Lafforgue},
url = {http://eudml.org/doc/251063},
volume = {62},
year = {2012},
}

TY - JOUR
AU - Jacquet, Hervé
TI - A remark on Construire un noyau de la fonctorialité by Lafforgue
JO - Annales de l’institut Fourier
PY - 2012
PB - Association des Annales de l’institut Fourier
VL - 62
IS - 3
SP - 899
EP - 935
AB - Lafforgue has proposed a new approach to the principle of functoriality in a test case, namely, the case of automorphic induction from an idele class character of a quadratic extension. For technical reasons, he considers only the case of function fields and assumes the data is unramified. In this paper, we show that his method applies without these restrictions. The ground field is a number field or a function field and the data may be ramified.
LA - eng
KW - Functoriality; Weil representation; Converse theorem; functoriality; converse theorem
UR - http://eudml.org/doc/251063
ER -

References

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  1. H. Jacquet, R. P. Langlands, Automorphic forms on GL ( 2 ) , (1970), Springer-Verlag, Berlin Zbl0236.12010MR401654
  2. Laurent Lafforgue, Construire un noyau de la fonctorialité? Le cas de l’induction automorphe sans ramification de GL 1 à GL 2 , Ann. Inst. Fourier (Grenoble) 60 (2010), 87-147 MR2664311
  3. Nolan R. Wallach, Real reductive groups. I, 132 (1988), Academic Press Inc., Boston, MA Zbl0666.22002MR929683
  4. Nolan R. Wallach, Real reductive groups. II, 132 (1992), Academic Press Inc., Boston, MA Zbl0785.22001MR1170566
  5. André Weil, Sur certains groupes d’opérateurs unitaires, Acta Math. 111 (1964), 143-211 Zbl0203.03305MR165033

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