@article{PMIHES_2010__111__1_0, author = {Ng\^o, Baoch\^au}, title = {Le lemme fondamental pour les alg\`ebres de {Lie}}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {1--169}, publisher = {Springer-Verlag}, volume = {111}, year = {2010}, doi = {10.1007/s10240-010-0026-7}, mrnumber = {2653248}, zbl = {1200.22011}, language = {fr}, url = {http://www.numdam.org/articles/10.1007/s10240-010-0026-7/} }
TY - JOUR AU - Ngô, Baochâu TI - Le lemme fondamental pour les algèbres de Lie JO - Publications Mathématiques de l'IHÉS PY - 2010 SP - 1 EP - 169 VL - 111 PB - Springer-Verlag UR - http://www.numdam.org/articles/10.1007/s10240-010-0026-7/ DO - 10.1007/s10240-010-0026-7 LA - fr ID - PMIHES_2010__111__1_0 ER -
Ngô, Baochâu. Le lemme fondamental pour les algèbres de Lie. Publications Mathématiques de l'IHÉS, Tome 111 (2010), pp. 1-169. doi : 10.1007/s10240-010-0026-7. http://www.numdam.org/articles/10.1007/s10240-010-0026-7/
1. Irreducibility of the compactified Jacobian, in Real and Complex Singularities (Proc. Ninth Nordic Summer School/NAVF Sympos. Math., Oslo, 1976), pp. 1–12. | MR | Zbl
, , and ,2. An introduction to the trace formula, in: Harmonic Analysis, the Trace Formula, and Shimura Varieties, Clay Math. Proc. 4 (2005), Am. Math. Soc., Providence | MR | Zbl
,3. Algebraic approximation of structures over complete local rings, Inst. Hautes Études Sci. Publ. Math. 36 (1969), p. 23-58 | Numdam | MR | Zbl
,4. Un lemme de descente, C. R. Acad. Sci. Paris 320 (1995), p. 335-340 | MR | Zbl
, ,5. Spectral curves and generalized theta divisor, J. Reine Angew. Math. 398 (1989), p. 169-179 | MR | Zbl
, , ,6.
, , Opers, preprint.7. Faisceaux pervers, Astérisque, 100 (1982). | MR | Zbl
, , and ,8. The dimension of the fixed points set on affine flag manifolds, Math. Res. Lett. 3 (1996), p. 185-189 | MR | Zbl
,9. Infinitesimal study of Hitchin pairs, J. Lond. Math. Soc. 49 (1994), p. 219-231 | MR | Zbl
, ,10. Neron Models, Ergeb. der Math., 21 (1990), Springer, Berlin | MR | Zbl
, , ,11. Groupes et algèbres de Lie, (1981), Masson, Paris | Zbl
,12. Finite Group of Lie Type, Wiley Classics Library. | MR | Zbl
,13. Congruences of Néron models for tori and the Artin conductor, Ann. Math. (2) 154 (2001), p. 347-382 | MR | Zbl
, ,14. The fundamental lemma for stable base change, Duke Math. J. 61 (1990), p. 255-302 | MR | Zbl
,15. Fonctions constructibles exponentielles, transformation de Fourier motivique et principe de transfert, C. R. Acad. Sci. Paris 341 (2005), p. 741-746 | MR | Zbl
, ,16. Lemme fondamental et endoscopie, une approche géométrique, Séminaire Bourbaki 940, novembre 2004.
,17. Théorèmes de connexité pour les produits d’espaces projectifs et les grassmanniennes, Am. J. Math. 118 (1996), p. 1347-1367 | MR | Zbl
,18. La conjecture de Weil II, Publ. Math. I.H.E.S. 52 (1980), p. 137-252 | Numdam | MR | Zbl
,19. Décomposition dans la catégorie dérivée, in Motives, Proc. of Symp. in Pure Math., vol. 55.1, pp. 115–128, 1994. | MR | Zbl
,20.
, Communication privée, 2007.21.
and , Séminaire de géométrie algébrique du Bois-Marie 3. LNM, vols. 151, 152, 153, Springer.22. Ideals associated to Deformations of singular plane curves, Trans. Am. Math. Soc. 309 (1988), p. 433-468 | MR | Zbl
, ,23. The gerb of Higgs bundles, Transform. Groups 7 (2002), p. 109-153 | MR | Zbl
, ,24. Stable G-bundles and projective connections, J. Algebraic Geom. 2 (1993), p. 507-568 | MR | Zbl
,25. Euler number of the compactified Jacobian and multiplicity of rational curves, J. Algebraic Geom. 8 (1999), p. 115-133 | MR | Zbl
, , ,26. Homology of affine Springer fiber in the unramified case, Duke Math. J. 121 (2004), p. 509-561 | MR | Zbl
, , ,27. Purity of equivalued affine Springer fibers, Represent. Theory 10 (2006), p. 130-146 | MR | Zbl
, , ,28. Codimension of root valuation strata, preprint (2006). | MR | Zbl
, , and ,29. Groupes de monodromie en Géométrie algébrique (SGA 7 I), LNM, vol. 288, Springer.
,30. Éléments de géométrie algébrique IV. Étude locale des schémas et de morphismes de schémas, Publ. Math. I.H.E.S. 20, 24, 28 et 32. | Numdam | Zbl
and ,31. The fundamental lemma for Sp(4), Proc. Am. Math. Soc. 125 (1997), p. 301-308 | MR | Zbl
,32. A statement of the fundamental lemma, in: Harmonic Analysis, the Trace Formula, and Shimura Varieties, Clay Math. Proc. 4 (2005), Am. Math. Soc., Providence | MR | Zbl
,33. Uniformization of -bundles. A paraître dans Math. Ann. | MR | Zbl
,34. Stable bundles and integrable connections, Duke Math. J. 54 (1987), p. 91-114 | MR | Zbl
,35. On lifting, in: Lie Group Representations, II, Lecture Notes in Math. 1041 (1984), Springer, Berlin | MR | Zbl
,36. Fixed point varieties on affine flag manifolds, Isr. J. Math. 62 (1988), p. 129-168 | MR | Zbl
, ,37. Algebraic cycles and Weil conjectures, in: Dix exposés sur la Cohomologie des Schémas, (1968), North-Holland, Amsterdam | MR | Zbl
,38. Lie group representations on polynomial rings, Am. J. Math. 85 (1963), p. 327-404 | MR | Zbl
,39. Orbital integrals on GL3 , Am. J. Math. 102 (1980), p. 327-384 | MR | Zbl
,40. Unstable orbital integrals on SL(3), Duke Math. J. 48 (1981), p. 649-664 | MR | Zbl
,41. Stable trace formula : cuspidal tempered terms, Duke Math. J. 51 (1984), p. 611-650 | MR | Zbl
,42. Isocristal with additionnal structures, Compos. Math. 56 (1985), p. 201-220 | Numdam | MR | Zbl
,43. Base change for unit elements of Hecke algebras, Compos. Math. 60 (1986), p. 237-250 | Numdam | MR
,44. Stable trace formula : elliptic singular terms, Math. Ann. 275 (1986), p. 365-399 | MR | Zbl
,45. Shimura varieties and λ-adic representations, in: Automorphic Forms, Shimura Varieties, and L-functions, Vol. I, Perspect. Math. 10 (1990), Academic Press, Boston | MR | Zbl
,46. Transfert factors for Lie algebra, Represent. Theory 3 (1999), p. 127-138
,47. Fonctions élémentaires et lemme fondamental pour le changement de base stable, Duke Math. J. 61 (1990), p. 519-530 | MR | Zbl
,48. L-indistinguishability for SL(2), Can. J. Math. 31 (1979), p. 726-785 | MR | Zbl
, ,49. Base Change for GL(2), Annals of Mathematics Studies 96 (1980), Princeton University Press, Princeton | MR | Zbl
,50. Les débuts d’une formule des traces stables, in Publications Mathématiques de l’Université Paris VII, vol. 13, Université de Paris VII, U.E.R. de Mathématiques, Paris, 1983. | MR | Zbl
,51. Fibres de Springer et Jacobiennes compactifiées, in: Algebraic Geometry and Number Theory, Progr. Math. 253 (2006), Birkhäuser Boston, Boston | MR | Zbl
,52. Sur le lemme fondamental pour les groupes unitaires, prépublication, arXiv :org/abs/math/0212245 .
,53. Champs algébriques, Ergebnisse der Mathematik 39 (2000), Springer, Berlin | MR | Zbl
, ,54. Le lemme fondamental pour les groupes unitaires, Ann. Math. 168 (2008), p. 477-573 | MR | Zbl
, ,55. Involutions of reductive Lie algebras in positive characteristic, Adv. Math. 210 (2007), p. 505-559 | MR | Zbl
,56. Abelian Varieties. Oxford University Press. | MR | Zbl
,57. Fibration de Hitchin et endoscopie, Inveut. Math 164 (2006), p. 399-453 | MR | Zbl
,58. Fibration de Hitchin et structure endoscopique de la formule des traces, International Congress of Mathematicians II (2006), Eur. Math. Soc., Zürich | MR | Zbl
,59. Geometry of the Hitchin fibration. Livre en préparation.
,60. Decomposition theorem and abelian fibration. Article d’exposition pour le projet du livre disponible à l’adresse http://fa.institut.math.jussieu.fr/node/44 .
,61. Moduli space of semistable pairs on a curve, Proc. Lond. Math. Soc. (3) 62 (1991), p. 275-300 | MR | Zbl
,62. On Tamagawa numbers, in: Algebraic Groups and Discontinuous Subgroups, Proc. of Symp. in Pure Math 9 (1966), Am. Math. Soc., Providence | MR | Zbl
,63. A guide to the reduction of Shimura varieties in Automorphic forms. I, Astérisque 298 (2005), p. 271-318 | Numdam | MR | Zbl
,64.
, Communication privée, 2004.65. Automorphic Representations of Unitary Groups in Three Variables, Annals of Math. Studies 123 (1990), Princeton University Press, Princeton | MR | Zbl
,66. Some basic theorems on algebraic groups, Am. J. Math. 78 (1956), p. 401-443 | MR | Zbl
,67. Automorphic Forms and Algebraic Extensions of Number Fields (Department of Mathematics, Kyoto University), Lectures in Mathematics 8 (1975), Kinokuniya Book-Store Co., Ltd., Tokyo | MR | Zbl
,68.
, Inauguraldissertation, Mannheim 1993.69. Groupes algébriques et corps de classes, Publications de l’Institut de Mathématique de l’Université de Nancago VII (1959), Hermann, Paris | MR | Zbl
,70. Corps locaux, Publications de l’Institut de Mathématique de l’Université de Nancago VIII (1962), Hermann, Paris | MR | Zbl
,71. Orbital integrals and a family of groups attached to a real reductive group, Ann. Sci. École Norm. Supér., 12 (1979). | Numdam | MR | Zbl
,72. On the fixed point set of a unipotent element on the variety of Borel subgroups, Topology 16 (1977), p. 203-204 | MR | Zbl
,73. Some arithmetical results on semi-simple Lie algebras, Publ. Math. I.H.E.S. 33 (1966), p. 115-141 | Numdam | MR | Zbl
,74. Reductive groups, in: Automorphic Forms, Representations, and L-functions, Proc. Symp. in Pure Math 33-1 (1997), Am. Math. Soc., Providence | MR | Zbl
,75. Conjugacy classes, in: Seminar on Algebraic Groups and Related Finite Groups, Lectures Notes in Math. 131 (1970), Springer, Berlin | MR | Zbl
, ,76. Lectures on Chevalley groups, Livre polycopié. | Zbl
,77. Résolution simultanée – I. Famille de courbes, in: Séminaire sur les Singularités des Surfaces, LNM 777 (1980), Springer, Berlin | Numdam | Zbl
,78. The center of the universal enveloping algebra of a Lie algebra in characteristic p , Ann. Sci. École Norm. Supér. (4) 5 (1972), p. 217-240 | Numdam | MR | Zbl
,79. Sur les intégrales orbitales tordues pour les groupes linéaires : un lemme fondamental, Can. J. Math. 43 (1991), p. 852-896 | MR | Zbl
,80. Le lemme fondamental implique le transfert, Compos. Math. 105 (1997), p. 153-236 | MR | Zbl
,81. Intégrales orbitales nilpotentes et endoscopie pour les groupes classiques non ramifiés, Astérisque, 269. | Numdam | Zbl
,82. Endoscopie et changement de caractéristique, Inst. Math. Jussieu 5 (2006), p. 423-525 | MR | Zbl
,83. L’endoscopie tordue n’est pas si tordue, Mem. Am. Math. Soc. 194 (2008), p. x+261 | MR | Zbl
,84. A special case of fundamental lemma I–IV, preprint Mannheim (1993).
,85. The twisted weighted fundamental lemma for the transfer of automorphic forms from GSp(4). Formes automorphes. II. Le cas du groupe GSp(4), Astérisque 302 (2005), p. 291-436 | Numdam | MR | Zbl
,Cité par Sources :