Formes de Maass et représentations galoisiennes
Séminaire Bourbaki : volume 1988/89, exposés 700-714, Astérisque, no. 177-178 (1989), Exposé no. 711, 26 p.

Voir la notice du chapitre de livre provenant de la source Numdam

MR   Zbl

Henniart, Guy. Formes de Maass et représentations galoisiennes, dans Séminaire Bourbaki : volume 1988/89, exposés 700-714, Astérisque, no. 177-178 (1989), Exposé no. 711, 26 p.. http://geodesic.mathdoc.fr/item/SB_1988-1989__31__277_0/
@incollection{SB_1988-1989__31__277_0,
     author = {Henniart, Guy},
     title = {Formes de {Maass} et repr\'esentations galoisiennes},
     booktitle = {S\'eminaire Bourbaki : volume 1988/89, expos\'es 700-714},
     series = {Ast\'erisque},
     note = {talk:711},
     pages = {277--302},
     year = {1989},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {177-178},
     mrnumber = {1040577},
     zbl = {0703.11062},
     language = {fr},
     url = {http://geodesic.mathdoc.fr/item/SB_1988-1989__31__277_0/}
}
TY  - CHAP
AU  - Henniart, Guy
TI  - Formes de Maass et représentations galoisiennes
BT  - Séminaire Bourbaki : volume 1988/89, exposés 700-714
AU  - Collectif
T3  - Astérisque
N1  - talk:711
PY  - 1989
SP  - 277
EP  - 302
IS  - 177-178
PB  - Société mathématique de France
UR  - http://geodesic.mathdoc.fr/item/SB_1988-1989__31__277_0/
LA  - fr
ID  - SB_1988-1989__31__277_0
ER  - 
%0 Book Section
%A Henniart, Guy
%T Formes de Maass et représentations galoisiennes
%B Séminaire Bourbaki : volume 1988/89, exposés 700-714
%A Collectif
%S Astérisque
%Z talk:711
%D 1989
%P 277-302
%N 177-178
%I Société mathématique de France
%U http://geodesic.mathdoc.fr/item/SB_1988-1989__31__277_0/
%G fr
%F SB_1988-1989__31__277_0

[Ar 1] J. Arthur - On some problems suggested by the trace formula in Lie groups and representations II, Springer L.N.M. vol. 1041, 1983, 1-49. | Zbl | MR

[Ar 2] J. Arthur - On a family of distributions obtained from orbits, Can. J. Math. 38, 1986, 179-214. | Zbl | MR

[AC] J. Arthur, L. Clozel - Simple algebras, base change, and the advanced theory of the trace formula, Annals of Math. Studies, Princeton University Press, 1989. | Zbl | MR

[AMRT] A. Ash, D. Mumford, M. Rapoport, Y.-S. Tai - Smooth compactifcation of locally symmetric varieties, Brooklin, Mass. Math. Sci. Press, 1975. | Zbl | MR

[Bl] D. Blasius - Automorphic forms and Galois representations : some examples, à paraître dans Proc. of a conference on Shimura varieties, Ann Arbor, 1988. | Zbl

[BCR 1] D. Blasius, L. Clozel, D. Ramakrishnan - Algébricité de l'action des opérateurs de Hecke sur certaines formules de Maass, C.R.A.S. Paris 305, 1987, 705-708. | Zbl | MR

[BCR 2] D. Blasius, L. Clozel, D. Ramakrishnan - Opérateurs de Hecke et formules de Maass : application de la formule des traces, C.R.A.S. Paris 306, 1988, 59-62. | Zbl | MR

[BHR] D. Blasius, M. Harris, D. Ramakrishnan - Coherent cohomology, limits of discrete series and Maass forms of Galois type, notes préliminaires.

[B-Rn] D. Blasius, D. Ramakrishnan - Maass forms and Galois representations, à paraître dans Conf. on Galois groups and related topics, MSRI, mars 1987. | Zbl

[B-Ro] D. Blasius, J. Rogawski - Galois representations for Hilbert modular forms, Bull. A.M.S., juillet 1989, 65-70. | Zbl | MR

[Bo 1] A. Borel - Stable cohomology of arithmetic groups, Ann. Scient. E.N.S. 7, 1974, 235-272. | Zbl | MR | Numdam

[Bo 2] A. Borel - Automorphic L-functions, in [PSPM], II, 27-72. | Zbl

[Bo-J] A. Borel, H. Jacquet - Automorphic forms and automorphic representations, in [PSPM], I, 189-202. | Zbl | MR

[Bo-Wa] A. Borel, N. Wallach - Continuous cohomology, discrete subgroups and representations of reductive groups, Annals of Math. Studies 94, Princeton University Press, 1980. | Zbl | MR

[Br-La] J.-L. Brylinski, J.-P. Labesse - Cohomologie d'intersection et fonctions L de certaines variétés de Shimura, Ann. Scient. E.N.S. 17, 1984, 361-412. | Zbl | MR | Numdam

[Ca 1] H. Carayol - Sur les représentations l-adiques attachées aux formes modulaires de Hilbert, Ann. Scient. E.N.S. 19, 1986, 409-468. | Zbl | MR | Numdam

[Ca 2] H. Carayol - Formes modulaires et représentations l-adiques, Astérisque 147-148, 1987, 33-47. | Zbl | MR | Numdam

[Ch-F] C. L. Chai, G. Faltings - Arithmetic compactification of Siegel moduli spaces and applications, prépublication 1988.

[Cl] L. Clozel - Motifs et formes automorphes : applications du principe de fonctorialité, prépublication 1989, à paraître dans Proc. of a conference on Shimura varieties, Ann Arbor, 1988. | Zbl | MR

[Del] P. Deligne - Formes modulaires et représentations l-adiques, Sém. Bourbaki, exposé n° 355, Springer L.N.M. 179, 1971, 139-172. | Zbl | Numdam

[De 2] P. Deligne - Non abelian class-field theory, in Mathematical developments arising from Hilbert problems, PSPM 28, 1976, 41-43.

[De-Se] - P. Deligne, J.-P. Serre - Formes modulaires de poids 1, Ann. Scient. E.N.S. 7, 1974, 507-530. | Zbl | MR | Numdam

[F 1] G. Faltings - Arithmetic theory of Siegel modular forms, New York Number Theory Seminar, Springer L.N.M. 1240, 1987, 101-108. | Zbl | MR

[F 2] G. Faltings - On the cohomology of locally symmetric hermitian spaces, Springer L.N.M. 1029, 1984, 55-98. | Zbl | MR

[Ge] S. Gelbart - Automorphic forms on adele groups, Annals of Math. Studies 83, Princeton University Press, 1975. | Zbl | MR

[Ge-Ja] S. Gelbart, H. Jacquet - A relation between automorphic forms on GL(2) and GL(3), Ann. Scient. E.N.S. 11, 1978, 471-542. | Zbl | MR | Numdam

[Ha 1] M. Harris - Arithmetic vector bundles and automorphic forms on Shimura varieties I, Inventiones Mathematicae 82, 1985, 151-189 ; II, Compositio Mathematicae 60, 1986, 323-378. | Zbl | MR | Numdam

[Ha 2] M. Harris - Formes automorphes "géométriques" non holomorphes : problèmes d'arithméticité, in Séminaire de Théorie des Nombres de Paris, 1984-85, Progress in Math. 63, Boston Birkhäuser, 1986, 109-129. | Zbl | MR

[Ha 3] M. Harris - Automorphie forms of ∂-cohomology type as coherent cohomology classes, à paraître dans Journal of Diff. Geom. | Zbl

[Ha 4] M. Harris Automorphic forms and the cohomology of vector bundles on Shimura varieties, à paraître dans Proc. of a conference on Shimura varieties, Ann Arbor,1988. | Zbl

[Ha-Ph] M. Harris, D. H. Phong - Cohomologie de Dolbeault à croissance logarithmique à l'infini, C.R.A.S. Paris 302, 1986, 307-310. | Zbl | MR

[He] E. Hecke Zur Theorie der elliptischen Modulfunktionen, n° 23, in Mathematische Werke, Vandenhoeck et Ruprecht, Göttingen, 1970, 2e édition. | JFM

[Hi] H. Hida Galois representations into GL2(Zp[[X]]) attached to ordinary cusp forms, Inv. Math. 85, 1986, 546-613. | Zbl | MR

[Ja-La] H. Jacquet, R. P. Langlands - Automorphic forms on GL(2), Springer L.N.M. 114, 1970. | Zbl | MR

[Ja-Sh] H. Jacquet, J. Shalika - Exterior square L-functions, à paraître dans Proc. of a conference on Shimura varieties, Ann Arbor, 1978. | Zbl

[JPSS 1] H. Jacquet, I. Piatetski-Shapiro, J. Shalika - Converse theorem for GSp(4), en préparation.

[JPSS 2] H. Jacquet, I. Piatetski-Shapiro, J. Shalika - Rankin-Selberg convolutions, Amer. J. of Math. 105, 1983, 367-464. | Zbl | MR

[Kn] A. W. Knapp - Representation theory of semisimple groups, Princeton Math. Series 36, 1986. | Zbl | MR

[Ko 1] R. Kottwitz - Shimura varietes and twisted orbital integrals, Math. Annalen 269, 1984, 287-300. | Zbl | MR

[Ko 2] R. Kottwitz - On the λ-adic representations associated to some simple Shimura varieties, en préparation. | Zbl

[Ku] Ph. Kutzko - The Langlands conjecture for GL2 of a local field, Annals of Math. 112, 1980, 381-412. | Zbl | MR

[L-La] J.-P. Labesse, R. P. Langlands - L.-indistinguishability for SL(2), Can. J. Math. XXXI 4, 1979, 726-785. | Zbl | MR

[La 1] R. P. Langlands - Problems in the theory of automorphic forms, in Lectures in modern analysis and applications III, Springer L.N.M. 170, 1970, 19-61 | Zbl | MR

[La 2] R. P. Langlands - Modular forms and l-adic representations, in Modular functions of one variable II, Springer L.N.M. 349, 1973, 361-500. | Zbl | MR

[La 3] R. P. Langlands - On the classification of irreducible representations of real algebraic groups, LA.S., Princeton, 1973.

[La 4] R. P. Langlands - On the zeta-functions of some simple Shimura varieties, Can. J. Math. 31, 1979, 1121-1216. | Zbl | MR

[La 5] R. P. Langlands - Automorphic representations, Shimura varieties and motives, in Märchen in [PSPM] II, 205-246. | Zbl | MR

[La 6] R. P. Langlands - Base change for GL(2), Annals of Math. Studies 96, Princeton University Press, 1980. | Zbl | MR

[La 7] R. P. Langlands - Les débuts d'une formule des traces stables, Pub. Math. Univ. Paris VII 13, 1980. | Zbl

[Ma 1] H. Maass - Über eine neue Art von nichtanalytischen automorphen Functionen und die Bestimmung Dirichletscher Reihen durch Fhnctional-gleichungen, Math. Annalen 121, 1949, 141-183. | Zbl | MR

[Ma 2] H. Maass - Lectures on modular functions of one complex variable, Tata Lectures Notes 29, Bombay,1983. | Zbl | MR

[Mi] J. S. Milne - Automorphic vector bundles on connected Shimura varieties, Invent. Math. 92, 1987, 91-128. | Zbl | MR

[O] M. Ohta - On the zeta function of an abelian scheme over the Shimura curve, Japan J. Math. 9, 1983, 1-26. | Zbl | MR

[PSPM] Automorphic functions, representations and L functions, Proc. Symp. Pure Math. 33, Parts I and II, Providence, 1979.

[Ro] J. Rogawski - Automorphic representations of unitary groups in 3 variables, à paraître dans Annals of Math. Studies, Princeton University Press. | Zbl

[Ro-Tu] J. Rogawski, J. B. Tunnell - On Artin L-functions associated to Hilbert modular forms of weight one, Inv. Math. 74, 1983, 1-42. | Zbl | MR

[RZ] H. Reimann, T. Zink - Der Dieudonnémodul einer polarisierten abelschen Mannigfältigkeit von CM-Typ, Annals of Math. 129, 1988, 461-482. | Zbl | MR

[Se] J.-P. Serre - Modular forms of weight one and Galois representations, in Algebraic Number Theory Field,Fröhlich ed., Academic Press, 1977, 193-268. | Zbl | MR

[Sh 1] G. Shimura - On modular correspondences for Sp(n, Z) and their congruence relations, Proc. N.A.S. USA 49, 1963, 824-828. | Zbl | MR

[Sh 2] G. Shimura - On canonical models of arithmetic quotients of bounded symmetric domains I, Annals of Math. 91, 1970, 144-222 ; II, Annals of Math. 92, 1970, 528-549. | Zbl | MR

[Sh 3] G. Shimura - On the Fourier coefficients of modular forms of several variables, Nachr. Akad. Wiss. Göttingen 17, 1975, 261-268. | Zbl | MR

[So] D. Soudry - The CAP representations of GSP(4, A), Journal de Crelle 383, 1988, 87-108. | Zbl | MR

[Ta 1] R. Taylor - On congruences between modular forms, Thèse Princeton, 1988.

[Ta 2] R. Taylor - On Galois representations associated to Hibert modular forms, à paraître dans Invent. Math. | Zbl | MR

[Ta 3] R. Taylor - Lettre à D. Blasius datée du 16.10.1988.

[Tt] J. Tate - Number theoretic background, in [PSPM] II, 3-26. | MR

[Tu] J. B. Tunnell - Artin's conjecture for representations of octahedral type, B. AMS 5, 1981, 173-175. | Zbl | MR

[We] A. Weil - Dirichlet series and automorphic forms Springer L.N.M., vol. 189, 1971. | Zbl

[Wi 1] A. Wiles - On p-adic representations for totally real fields, Annals of Math. 123, 1986, 407-456. | Zbl | MR

[Wi 2] A. Wiles - On ordinary λ-adic representations associated to modular forms, Invent. Math. 94, 1988, 529-573. | Zbl

[Wi 3] A. Wiles - The Iwasawa conjecture for totally real fields, prépublication, 1989. | MR

[Wa] J.-L. Waldspurger - Représentation métaplectique et conjectures de Howe, Sém. Bourbaki, exposé n° 674, Astérisque 152-153, 1987, 85-100. | Zbl | MR | Numdam