Sur le changement de base stable des intégrales orbitales pondérées

 Access to full text

 Full (PDF)

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