Faisceaux pervers, homomorphisme de changement de base et lemme fondamental de Jacquet et Ye

Báo Châu Ngô

Annales scientifiques de l'École Normale Supérieure (1999)

  • Volume: 32, Issue: 5, page 619-679
  • ISSN: 0012-9593

How to cite

top

Ngô, Báo Châu. "Faisceaux pervers, homomorphisme de changement de base et lemme fondamental de Jacquet et Ye." Annales scientifiques de l'École Normale Supérieure 32.5 (1999): 619-679. <http://eudml.org/doc/82497>.

@article{Ngô1999,
author = {Ngô, Báo Châu},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {base change homomorphism; Hecke algebra; Satake isomorphism; fundamental lemma},
language = {fre},
number = {5},
pages = {619-679},
publisher = {Elsevier},
title = {Faisceaux pervers, homomorphisme de changement de base et lemme fondamental de Jacquet et Ye},
url = {http://eudml.org/doc/82497},
volume = {32},
year = {1999},
}

TY - JOUR
AU - Ngô, Báo Châu
TI - Faisceaux pervers, homomorphisme de changement de base et lemme fondamental de Jacquet et Ye
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1999
PB - Elsevier
VL - 32
IS - 5
SP - 619
EP - 679
LA - fre
KW - base change homomorphism; Hecke algebra; Satake isomorphism; fundamental lemma
UR - http://eudml.org/doc/82497
ER -

References

top
  1. [BBD] A. BEILINSON, J. BERNSTEIN et P. DELIGNE, Faisceaux pervers, Astérisque 100. Soc. Math. de France, 1982. Zbl0536.14011MR86g:32015
  2. [B-M] W. BORHO and R. MACPHERSON, Représentations des groupes de Weyl et homologie d'intersection pour les variétés nilpotentes. C. R. Acad. Sc. Paris, 292, 1981, 707-710. Zbl0467.20036MR82f:14002
  3. [Del] P. DELIGNE, Application de la formule des traces aux sommes trigonomé triques. in SGA 4 1/2 LNM 561, Springer 1997. Zbl0349.10031
  4. [Gin] V. GINZBURG, Pervers sheaves on a loop group and Langlands duality. Preprint alg-geom, 9511007, 1995. 
  5. [Gro] A. GROTHENDIECK, Cohomologie l-adique et fonctions L. In SGA 5, volume 589 of LNM. Springer, 1977. MR57 #3132
  6. [J-Y1] J. JACQUET et Y. YE, Une remarque sur le changement de base quadratique. C. R. Acad. Sci. Paris, série I, 311, 1990, 671-676. Zbl0715.11026MR92j:11046
  7. [J-Y] J. JACQUET et Y. YE, Relative Kloosterman integrals for GL(3). Bull. Soc. Math. France, 120, 1992, 263-295. Zbl0785.11032MR94c:11047
  8. [Jou] J.-P. JOUANOLOU, Cohomologie de quelques schémas classiques et théorie cohomologique des classes de Chern.. In SGA 5, volume 589 of LNM. Springer, 1977. Zbl0352.14004
  9. [Lau] G. LAUMON, Correspondance de Langlands géométrique pour les corps de fonctions. Duke Math. J., 54, 1987, 309-359. Zbl0662.12013MR88g:11086
  10. [Lau1] G. LAUMON, Cohomology of Drinfeld modular varieties, part I. Cambridge University Press, 1996. Zbl0837.14018MR98c:11045a
  11. [Lus] G. LUSZTIG, Green polynomials and singularities of unipotent classes. Adv. Math., 42, 1983, 208-227. Zbl0473.20029
  12. [Lus2] G. LUSZTIG, Singularities, characters formulas and a q-analog of weight multiplicities. Astérisque, vol. 101-102, 1983. Zbl0561.22013MR85m:17005
  13. [Mac] I. MACDONALD, Symmetric Functions and Hall Polynomials. Clarendon Press, Oxford, 1979. Zbl0487.20007MR84g:05003
  14. [M-V] I. MIRKOVIĆ and K. VILONEN, Perverse sheaves on loop Grassmannians and Langlands duality. Preprint alg-geom, 9703010, 1997. Zbl0987.14015
  15. [Ngo1] B. C. NGÔ, Lemme fondamental de Jacquet et Ye en caractéristique positive. Duke Math. J., 96, 1999, 473-520. Zbl1047.11517MR2000f:11059
  16. [Ngo2] B. C. NGÔ, Lemme fondamental de Jacquet et Ye en caractéristique égales. C. R. Acad. Sci. Paris, série I, 325, 1997, 307-312. Zbl0979.11031MR98m:11045
  17. [Ngo3] B. C. NGÔ, Preuve d'une conjecture de Frenkel-Gaitsgory-Kazhdan-Vilonen. Preprint alg-geom, 9801109, 1998, à paraître dans Israel J. of Math. 
  18. [Sa] I. SATAKE, Theory of spherical functions on reductive algebraic groups over p-adic fields. Publ. IHES, 18, 1963, 1-69. Zbl0122.28501MR33 #4059

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.