@incollection{SB_1981-1982__24__249_0,
author = {Springer, T. A.},
title = {Quelques applications de la cohomologie d'intersection},
booktitle = {S\'eminaire Bourbaki : volume 1981/82, expos\'es 579-596},
series = {Ast\'erisque},
note = {talk:589},
pages = {249--273},
year = {1982},
publisher = {Soci\'et\'e math\'ematique de France},
number = {92-93},
mrnumber = {689533},
zbl = {0526.22014},
language = {fr},
url = {https://www.numdam.org/item/SB_1981-1982__24__249_0/}
}
TY - CHAP AU - Springer, T. A. TI - Quelques applications de la cohomologie d'intersection BT - Séminaire Bourbaki : volume 1981/82, exposés 579-596 AU - Collectif T3 - Astérisque N1 - talk:589 PY - 1982 SP - 249 EP - 273 IS - 92-93 PB - Société mathématique de France UR - https://www.numdam.org/item/SB_1981-1982__24__249_0/ LA - fr ID - SB_1981-1982__24__249_0 ER -
%0 Book Section %A Springer, T. A. %T Quelques applications de la cohomologie d'intersection %B Séminaire Bourbaki : volume 1981/82, exposés 579-596 %A Collectif %S Astérisque %Z talk:589 %D 1982 %P 249-273 %N 92-93 %I Société mathématique de France %U https://www.numdam.org/item/SB_1981-1982__24__249_0/ %G fr %F SB_1981-1982__24__249_0
Springer, T. A. Quelques applications de la cohomologie d'intersection, dans Séminaire Bourbaki : volume 1981/82, exposés 579-596, Astérisque, no. 92-93 (1982), Exposé no. 589, 25 p.. https://www.numdam.org/item/SB_1981-1982__24__249_0/
[1] , Groupe de composantes de centralisateurs d'éléments unipotents dans les groupes algébriques semi-simples (en russe), Publ. Inst. Math. Tbilisi 52(1979), 5-27.
[2] - , Localisation de -modules, C.R. Acad. Sc. Paris 292(1981), 15-18. | Zbl | MR
[3] - , On the degrees and rationality of certain characters of finite Chevalley groups, Trans. Amer. Math. Soc. 165(1972), 251-273 et 202(1975), 405-406. | Zbl | MR
[4] et al., Seminar on algebraic groups and related finite groups, Lect. Notes in Math. vol. 131, Springer-Verlag,1970. | Zbl | MR
[5] - , Uber Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen, Comm. Math. Helv. 54(1976), 61-104. | Zbl | MR
[6] - , Représentations des groupes de Weyl et homologie d'intersection pour les variétés de nilpotents, C.R. Acad. Sc. Paris., 292(1981), 707-710. | Zbl | MR
[7] , Groupes et algèbres de Lie, Chap. IV, V, VI, Hermann, Paris, 1968. | Zbl | MR
[ 8] , Singular elements of semisimple algebraic groups,Actes Congrès Intern. Math. 1970 t.2, 279-284. | Zbl | MR
[9] , Differential operators on the flag varieties, dans : Tableaux de Young..., Astérisque, vol. 87-88(1982), 43-60. | Zbl | MR | Numdam
[10] , (Co) homologie d'intersection et faisceaux pervers, Sém. Bourbaki 1981/82, exposé n° 585, Astérisque 92-93(1982), 129-157. | Zbl | MR | Numdam | EuDML
[11] - , Kazhdan - Lusztig conjecture and holonomic systems, Inv. Math. 64(1981), 387-410. | Zbl | MR | EuDML
[12] , Invariants symétriques des groups de Weyl et torsion, Inv. Math. 21(1973), 287-301. | Zbl | MR | EuDML
[13] , Désingularisation des variétés de Schubert, Ann. Ec. Norm. Sup. (4) 7(1974), 53-88. | Zbl | MR | Numdam | EuDML
[14] , Some characterizations of Bruhat ordening on a Coxeter group and determination of the relative Möbius function, Inv. Math. 39(1977), 187-198. | Zbl | MR | EuDML
[15] , On the Kazhdan-Lusztig conjecture, Proc. Kon. Ak. v. Wet., Amsterdam, A 86(1982), 1-17. | Zbl | MR
[16] - , Towards the Kazhdan-Lusztig conjecture, Ann. Ec. Norm. Sup. 14(1981), 261-302. | Zbl | MR | Numdam | EuDML
[17] - , Verma modules and Schubert cells: a dictionary, Sém. d'Algèbre P. Dubreil-M.-P. Malliavin 1981, Lect. Notes in Math., vol. 924, Springer-Verlag, 1982. | Zbl | MR
[18] - , Intersection homology II, à paraître dans Inv. Math.. | Zbl | EuDML
[19] - , Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen, Inv. Math. 11(1970), 263-292. | Zbl | MR | EuDML
[20] , Local cohomology, Lect. Notes in Math. vol. 41, Springer-Verlag, 1967. | Zbl | MR
[21] , Cohomology and the resolution of the nilpotent variety, Math. Ann. 223(1976), 249-252. | Zbl | MR | EuDML
[22] , On Springer's representations, J. Fac. Sci. Univ. Tokyo 28(1982), 863-876. | Zbl | MR
[23] - , A specialization theorem for certain Weyl group representations and an application to the Green polynomials of unitary groups, Inv. Math. 41(1977), 113-127. | Zbl | MR | EuDML
[24] , Moduln mit einem höchsten Gewicht, Lect. Notes in Math. vol. 750, Springer-Verlag, 1979. | Zbl | MR
[25] , B-functions and holonomic systems, Inv. Math. 38(1976), 33-54. | Zbl | MR | EuDML
[26] - , Representations of Coxeter groups and Hecke algebras, Inv. Math. 53(1979), 165-184. | Zbl | MR | EuDML
[27] - , Schubert varieties and Poincaré duality, Proc. Symp. Pure Math. vol. 36, 185-203, Amer. Math. Soc. 1980. | Zbl | MR
[28] - , A topological approach to Springer's representations, Adv. in Math. 38(1980), 222-228. | Zbl | MR
[29] , The Grothendieck-Cousin complex of an induced representation, Adv. in Math. 29(1978), 310-396. | Zbl | MR
[30] et al., Toroidal embeddings I, Lect. Notes in Math. vol. 339, Springer-Verlag, 1973. | Zbl | MR
[31] , Lie group representations in polynomial rings, Amer. J. Math. 85(1963), 327-404. | Zbl | MR
[32] - , Polynômes de Kazhdan et Lusztig pour les Grassmanniennes, dans : Tableaux de Young..., Astérisque 87-88(1982), 249-266. | Zbl | Numdam
[33] , Some problems in the representation theory of finite Chevalley groups, Proc. Symp. Pure Math. vol. 37, 313-317, Amer. Math. Soc. 1980. | Zbl | MR
[34] , On a theorem of Benson and Curtis, J. Alg. 71(1981), 490-498. | Zbl | MR
[35] , Green polynomials and singularities of unipotent classes, Adv. in Math. 42 (1981), 169-178. | Zbl | MR
[36] , Singularities, character formulas and a q-analog of weight multiplicities, à paraître dans Comptes-Rendus Conf. sur la th. des singularités (Luminy, 1981). | Zbl | Numdam
[37] , Unipotent characters of the symplectic and odd orthogonal groups over a finite field, Inv. Math. 64(1981), 263-296. | Zbl | MR | EuDML
[38] , Unipotent characters of the even orthogonal groups over a finite field, à paraître dans Trans. Amer. Math. Soc. | Zbl | MR
[39] - , Singularities of closures of K-orbits on flag manifolds, à paraître. | Zbl
[40] , Symmetric functions and Hall polynomials, Oxford Univ. Press, 1979. | Zbl | MR
[41] , Une autre équivalence de catégoriés, à paraître.
[42] , Représentations de GL(n,k) où k est un corps p-adique, Sém. Bourbaki 1981/82, exposé n° 587, Astérisque 92-93(1982), 201-218. | Zbl | MR | Numdam | EuDML
[43] , On the Springer representations of the Weyl groups of classical algebraic groups, Comm. Alg. 7(1979), 1713-1745 et 2027-2033. | Zbl | MR
[44] , Four lectures on simple groups and singularities, Comm. Math. Inst. Utrecht, 1980. | Zbl | MR
[45] , Simple singularities and simple algebraic groups, Lect. Notes in Math. vol. 815, Springer-Verlag, 1980. | Zbl | MR
[46] , The fixed point set of a unipotent transformation on the flag manifold, Proc. Kon. Ak. Wet. Amsterdam 79(1976), 452-456. | Zbl | MR
[47] , Trigonometric sums, Green functions of finite groups and representations of Weyl groups, Inv. Math. 36(1976), 173-207. | Zbl | MR | EuDML
[48] , Linear algebraic groups, Birkhäuser, 1981. | Zbl | MR
[49] , Representations of finite Chevalley groups, Lect. Notes in Math. vol. 764, Springer-Verlag, 1979. | Zbl | MR
[50] , On the desingularization of the unipotent variety, Inv. Math. 36(1976), 209-224. | Zbl | MR
[51] , Stratifications de Whitney et théorème de Bertini-Sard, Inv. Math. 36(1976), 295-312. | Zbl | MR
[52] , Irreducible characters of semisimple Lie groups III, Proof of Kazhdan-Lusztig conjecture in the integral case, preprint M.I.T. | MR
[53] , Un analogue p-adique de la conjecture de Kazhdan-Lusztig (en russe), Funktion. Anal. 15(1981), 9-21. | Zbl | MR







