Sur le changement de base stable des intégrales orbitales pondérées

Pierre-Henri Chaudouard

Annales scientifiques de l'École Normale Supérieure (2007)

  • Volume: 40, Issue: 1, page 51-112
  • ISSN: 0012-9593

How to cite

top

Chaudouard, Pierre-Henri. "Sur le changement de base stable des intégrales orbitales pondérées." Annales scientifiques de l'École Normale Supérieure 40.1 (2007): 51-112. <http://eudml.org/doc/82710>.

@article{Chaudouard2007,
author = {Chaudouard, Pierre-Henri},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {base change; weighted orbital integral; reductive -adic group},
language = {fre},
number = {1},
pages = {51-112},
publisher = {Elsevier},
title = {Sur le changement de base stable des intégrales orbitales pondérées},
url = {http://eudml.org/doc/82710},
volume = {40},
year = {2007},
}

TY - JOUR
AU - Chaudouard, Pierre-Henri
TI - Sur le changement de base stable des intégrales orbitales pondérées
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2007
PB - Elsevier
VL - 40
IS - 1
SP - 51
EP - 112
LA - fre
KW - base change; weighted orbital integral; reductive -adic group
UR - http://eudml.org/doc/82710
ER -

References

top
  1. [1] Arthur J., The trace formula in invariant form, Ann. of Math.114 (1981) 1-74. Zbl0495.22006MR625344
  2. [2] Arthur J., The invariant trace formula I. Local theory, J. Amer. Math. Soc.1 (2) (1988) 323-383. Zbl0682.10021MR928262
  3. [3] Arthur J., The local behaviour of weighted orbital integrals, Duke Math. J.56 (1988) 223-293. Zbl0649.10020MR932848
  4. [4] Arthur J., A local trace formula, Publ. Math. Inst. Hautes Études73 (1991) 5-96. Zbl0741.22013MR1114210
  5. [5] Arthur J., On the transfer of distributions: weighted orbital integrals, Duke Math. J.99 (2) (1999) 209-283. Zbl0938.22019MR1708030
  6. [6] Arthur J., A stable trace formula II. Global descent, Invent. Math.143 (1) (2001) 157-220. Zbl0978.11025MR1802795
  7. [7] Arthur J., A stable trace formula. I. General expansions, J. Inst. Math. Jussieu1 (2) (2002) 175-277. Zbl1040.11038MR1954821
  8. [8] Arthur J., A stable trace formula. III. Proof of the main theorems, Ann. of Math. (2)158 (3) (2003) 769-873. Zbl1051.11027MR2031854
  9. [9] Arthur J., Clozel L., Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula, Annals of Mathematics Studies, vol. 120, Princeton Univ. Press, Princeton, NJ, 1989. Zbl0682.10022MR1007299
  10. [10] Borel A., Tits J., Compléments à l'article : “Groupes réductifs”, Inst. Hautes Études Sci. Publ. Math.41 (1972) 253-276. Zbl0254.14018
  11. [11] Borel A., Wallach N., Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups, Mathematical Surveys and Monographs, vol. 67, second ed., Amer. Math. Soc., Providence, RI, 2000. Zbl0980.22015MR1721403
  12. [12] Borovoi M., Abelian Galois cohomology of reductive groups, Mem. Amer. Math. Soc.132 (626) (1998), viii+50. Zbl0918.20037MR1401491
  13. [13] Bourbaki N., Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV : Groupes de Coxeter et systèmes de Tits. Chapitre V : Groupes engendrés par des réflexions. Chapitre VI : Systèmes de racines, Actualités Scientifiques et Industrielles, vol. 1337, Hermann, Paris, 1968. Zbl0186.33001MR240238
  14. [14] Cartier P., Representations of p-adic groups: a survey, in: Automorphic Forms, Representations and L-Functions, Part 1, Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977, Proc. Sympos. Pure Math., vol. XXXIII, Amer. Math. Soc., Providence, RI, 1979, pp. 111-155. Zbl0421.22010MR546593
  15. [15] Casselman W., The unramified principal series of p-adic groups. I. The spherical function, Compositio Math.40 (3) (1980) 387-406. Zbl0472.22004MR571057
  16. [16] Chaudouard P.-H., Sur certaines identités endoscopiques entre transformées de Fourier, J. reine angew. Math.585 (2005) 1-59. Zbl1146.11032MR2164623
  17. [17] Digne F., Michel J., Groupes réductifs non connexes, Ann. Sci. École Norm. Sup. (4)27 (3) (1994) 345-406. Zbl0846.20040MR1272294
  18. [18] Digne F., Michel J., Points fixes des automorphismes quasi-semi-simples, C. R. Math. Acad. Sci. Paris334 (12) (2002) 1055-1060. Zbl1001.20043MR1911646
  19. [19] Harish-Chandra, Admissible Invariant Distributions on Reductive p-adic Groups, Notes by S. DeBacker and P.J. Sally Jr., Univ. Lect. Series, vol. 16, Amer. Math. Soc., Providence, RI, 1999. Zbl0928.22017MR1702257
  20. [20] Kottwitz R., Rational conjugacy classes in reductive groups, Duke Math. J.49 (4) (1982) 785-806. Zbl0506.20017MR683003
  21. [21] Kottwitz R., Stable trace formula: cuspidal tempered terms, Duke Math. J.51 (1984) 611-650. Zbl0576.22020MR757954
  22. [22] Kottwitz R., Base change for unit elements of Hecke algebras, Compositio Math.60 (2) (1986) 237-250. MR868140
  23. [23] Kottwitz R., Shelstad D., Foundations of twisted endoscopy, Astérisque255 (1999). Zbl0958.22013MR1687096
  24. [24] Labesse J.-P., Noninvariant base change identities, Mém. Soc. Math. France (N.S.)61 (1995), iv+113. Zbl0868.11026MR1339717
  25. [25] Labesse J.-P., Cohomologie, stabilisation et changement de base, Astérisque257 (1999), vi+161. Appendice A par L. Clozel et J.-P. Labesse, et Appendice B par L. Breen. Zbl1024.11034MR1695940
  26. [26] Labesse J.-P., Stable twisted trace formula: elliptic terms, J. Inst. Math. Jussieu3 (4) (2004) 473-530. Zbl1061.11025MR2094449
  27. [27] Steinberg R., Endomorphisms of linear algebraic groups, in: Collected Works, vol. 7, Amer. Math. Soc., Providence, RI, 1997, pp. 229-285, Edited and with a foreword by J.-P. Serre. MR230728
  28. [28] Waldspurger J.-L., Une formule des traces locale pour les algèbres de Lie p-adiques, J. reine angew. Math.465 (1995) 41-99. Zbl0829.11030MR1344131
  29. [29] Waldspurger J.-L., Le lemme fondamental implique le transfert, Compositio Math.105 (1997) 153-236. Zbl0871.22005MR1440722

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.