@incollection{SB_1999-2000__42__207_0,
author = {Laumon, G\'erard},
title = {La correspondance de {Langlands} sur les corps de fonctions},
booktitle = {S\'eminaire Bourbaki : volume 1999/2000, expos\'es 865-879},
series = {Ast\'erisque},
note = {talk:873},
pages = {207--265},
year = {2002},
publisher = {Soci\'et\'e math\'ematique de France},
number = {276},
mrnumber = {1886762},
zbl = {1016.11052},
language = {fr},
url = {https://www.numdam.org/item/SB_1999-2000__42__207_0/}
}
TY - CHAP AU - Laumon, Gérard TI - La correspondance de Langlands sur les corps de fonctions BT - Séminaire Bourbaki : volume 1999/2000, exposés 865-879 AU - Collectif T3 - Astérisque N1 - talk:873 PY - 2002 SP - 207 EP - 265 IS - 276 PB - Société mathématique de France UR - https://www.numdam.org/item/SB_1999-2000__42__207_0/ LA - fr ID - SB_1999-2000__42__207_0 ER -
%0 Book Section %A Laumon, Gérard %T La correspondance de Langlands sur les corps de fonctions %B Séminaire Bourbaki : volume 1999/2000, exposés 865-879 %A Collectif %S Astérisque %Z talk:873 %D 2002 %P 207-265 %N 276 %I Société mathématique de France %U https://www.numdam.org/item/SB_1999-2000__42__207_0/ %G fr %F SB_1999-2000__42__207_0
Laumon, Gérard. La correspondance de Langlands sur les corps de fonctions, dans Séminaire Bourbaki : volume 1999/2000, exposés 865-879, Astérisque, no. 276 (2002), Exposé no. 873, 59 p.. https://www.numdam.org/item/SB_1999-2000__42__207_0/
[La 1] - Chtoucas de Drinfeld et conjecture de Ramanujan-Petersson, Astérisque, 243 (1997). | Zbl | MR | Numdam
[La 2] - Sur la conjecture de Ramanujan-Petersson pour les corps de fonctions. I : Étude géométrique, C. R. Acad. Sci. Paris 322 (1996), 605-608. | Zbl | MR
[La 3] - Sur la conjecture de Ramanujan-Petersson pour les corps de fonctions. II : Étude spectrale, C. R. Acad. Sci. Paris 322 (1996), 707- 710. | Zbl | MR
[La 4] - Sur la dégénérescence des chtoucas de Drinfeld, C. R. Acad. Sci. Paris 323 (1996), 491-494. | Zbl | MR
[La 5] - Compactification de l'isogénie de Lang et dégénérescence des structures de niveau simple des chtoucas de Drinfeld, C. R. Acad. Sci. Paris 325 (1997), 1309-1312. | Zbl | MR
[La 6] - Chtoucas de Drinfeld et applications, dans Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998), Doc. Math., (1998), 563-570. | Zbl | MR
[La 7] - Une compactification des champs classifiant les chtoucas de Drinfeld, J. Amer. Math. Soc. 11 (1998), 1001-1036. | Zbl | MR
[La 8] - Pavages des simplexes, schémas de graphes recollés et compactification des PGLn+1r / PGLr, Invent. Math. 136 (1999), 233-271. | Zbl | MR
[La 9] - La correspondance de Langlands sur les corps de fonctions, manuscrit final, (2000).
[Dr 1] - Commutative subrings of certain noncommutative rings, Funct. Anal. and its Appl. 11 (1977), 9-12. | Zbl | MR
[Dr 2] - Proof of the global Langlands conjecture for over a function field, Funct. Anal. and its Appl. 11 (1977), 223-225. | Zbl | MR
[Dr 3] - A proof of Petersson's conjecture for function fields, Uspehi Mat. Nauk 32 (1977), 209-210. | MR
[Dr 4] - Langlands' conjecture for over functional fields, dans Proceedings of the International Congress of Mathematicians (Helsinki, 1978), Acad. Sci. Fennica, (1980), 565-574. | Zbl | MR
[Dr 5] - Moduli varieties of -sheaves, Funct. Anal. and its Appl. 21 (1987), 107-122. | Zbl | MR
[Dr 6] - Proof of the Petersson conjecture for over a global field of characteristic , Funct. Anal. and its Appl. 22 (1988), 28- 43. | Zbl | MR
[Dr 7] - Cohomology of compactified moduli varieties of -sheaves of rank , J. of Soviet Math. 46 (1989), 1789-1821. | Zbl | MR
[Dr 8] - On my paper : "Cohomology of compactified moduli varieties of -sheaves of rank ", Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), Anal. Teor. Chisel i Teor. Funktsii. 9 168 (1988), 45-47. | MR
[Ca] - Variétés de Drinfeld compactes, d'après Laumon, Rapoport et Stuhler, dans Séminaire Bourbaki 1991/92, Astérisque 206, (1992), 369- 409. | Numdam | Zbl | MR
[D-H] , - Survey of Drinfeld modules, dans Current trends in arithmetical algebraic geometry (Arcata, 1985), Contemp. Math. 67, (1987), 25-91. | Zbl | MR
[Dr 9] - Elliptic modules, Math. USSR Sbornik 23 (1974), 561- 592. | Zbl | MR
[Dr 10] - Elliptic modules II, Math. USSR Sbornik 31 (1977), 159-170. | Zbl
[Dr 11] - Number of two-dimensional irreducible representations of the fundamental group of a curve over a finite field, Functional Anal. and its Appl. 15 (1982), 294-295. | Zbl | MR
[F-K] , - Geometric Ramanujan conjecture and Drinfeld reciprocity law, dans Number theory, trace formulas and discrete groups, Academic Press, (1989), 201-218. | Zbl | MR
[H-K] , - Automorphic forms on over function fields (after V. G. Drinfeld), Proc. Sym. Pure Math. 33, Part 2 (1979), 357-379. | Zbl | MR
[Ka] - An introduction to Drinfeld's "shtuka", Proc. Sym. Pure Math. 33, Part 2 (1979), 347-356. | Zbl | MR
[Lau 1] - Cohomology of Drinfeld modular varieties, Part I (Geometry, counting of points and local harmonic analysis), Cambridge University Press (1995). | Zbl | MR
[Lau 2] - Cohomology of Drinfeld modular varieties, Part II (Automorphic forms, trace formulas and Langlands correspondence), Cambridge University Press (1996). | Zbl | MR
[Lau 3] - Drinfeld Shtukas, dans CIME Session "Vector bundles on Curves. New Directions" ( Cetraro, juin 1995), Lecture Notes in Mathematics 1649, (1996), 50-109. | Zbl | MR
[Lau 4] - The Langlands Correspondence for Function Fields following Laurent Lafforgue, dans Current Developments in Mathematics Conference (Harvard University, novembre 1999). | MR
[L-R-S] , ET - D-elliptic sheaves and the Langlands correspondence, Inv. Math. 113 (1993), 217-338. | Zbl | MR
[Dr 12] - Two-dimensional -adic representations of the fundamental group of a curve over a finite field and automorphic forms on , Amer. J. Math. 105 (1983), 85-114. | Zbl | MR
[Dr 13] - Two-dimensional -adic representations of the Galois group of a global field of characteristic p and automorphic forms on , J. of Soviet Math. 36 (1987), 93-105. | Zbl
[F-G-K-V] , , , - Geometric realization of Whittaker functions and the Langlands conjecture, J. Amer. Math. Soc. 11 (1998), 451-484. | Zbl | MR
[Lau 5] - Correspondance de Langlands géométrique pour les corps de fonctions, Duke Math. J. 54 (1987), 309-359. | Zbl | MR
[Lau 6] - Faisceaux automorphes pour : la première construction de Drinfeld, prépublication électronique, réf. alg-geom/9511004.
[De] - La conjecture de Weil. II, Publ. Math. IHES 52 (1980), 137-252. | Numdam | Zbl | MR
[DC-P] , - Complete symmetric varieties, dans CIME Session "Invariant Theory" (Montecatini), Lecture Notes in Math. 996, Springer-Verlag, (1982), 1-44. | Zbl | MR
[Fa] - Explicit resolution of local singularities of moduli-spaces. Journal für die reine und angewandte Mathematik 483 (1997), 183-196. | Zbl | MR
[Gr] - Formule de Lefschetz et rationalité des fonctions , Sém. Bourbaki 1964/65, exp. n° 279, collection hors série Astérisque 9 (1995), 41-55, et dans Dix exposés sur la cohomologie des schémas, North Holland, (1968), 31-45. | Numdam | Zbl | MR
[H-N] , - On the cohomology groups of moduli spaces of vector bundles on curves, Math. Ann. 212 (1975), 215-248. | Zbl | MR
[H-T] , - On the geometry and cohomology of some simple Shimura varieties, Institut de Mathématiques de Jussieu, Prépublication 227, (1999).
[Lak] - Completed quadrics and linear maps, dans Algebraic geometry, Bowdoin, 1985 (Brunswick, Maine, 1985), Proc. Sympos. Pure Math., 46, Part 2, Amer. Math. Soc., (1987), 371-387. | Zbl | MR
[Lau 7] - Transformation de Fourier, constantes d'équations fonctionnelles et conjecture de Weil, Publ. Math. I.H.E.S. 65 (1987), 131-210. | Numdam | Zbl | MR
[L-M] , - Champs algébriques, Springer-Verlag (1999). | MR
[Pi] - On the calculation of local terms in the Lefschetz-Verdier trace formula and its application to a conjecture of Deligne, Ann. Math. 135 (1992), 483-525. | Zbl | MR
[SD] - Affine Embeddings, dans Toroidal Embeddings I, Lecture Notes in Math. 339, Springer-Verlag, (1973), 1-40. | MR
[Se] - Abelian -Adic Representations and Elliptic Curves, Addison-Wesley (1988). | Zbl | MR
[Ar] - A trace formula for reductive groups I : terms associated to classes in , Duke Math. J. 45 (1978), 911-953. | Zbl | MR
[C-PS] , - Converse theorems for , Publ. Math. IHES 79 (1994), 157-214. | Numdam | Zbl | MR
[G-J] , - Zeta functions of simple algebras, Lecture Notes in Math. 260, Springer-Verlag, (1972). | Zbl | MR
[J-PS-S] , , - Rankin-Selberg convolutions, Amer. J. Math. 105 (1983), 367-464. | Zbl | MR
[J-S 1] , - On Euler products and the classification of automorphic representations I, Amer. J. Math. 103 (1981), 499-558. | Zbl | MR
[J-S 2] , - On Euler products and the classification of automorphic representations II, Amer. J. Math. 103 (1981), 777-815. | Zbl | MR
[Lan 1] - Problems in the theory of automorphic forms, dans Lectures in modern analysis and applications III, Lecture Notes in Math. 170, Springer-Verlag, (1970), 18-61. | Zbl | MR
[Lan 2] - On the functional equations satisfied by Eisenstein series, Lecture Notes in Math. 544, Springer-Verlag (1976). | Zbl | MR
[M-W] , - Décomposition spectrale et séries d'Eisenstein, Une paraphrase de l'Écriture, Birkhäuser (1994). | Zbl | MR
[PS 1] - Zeta functions of , prépublication de l'université du Maryland, (1976).
[PS 2] - Multiplicity one theorem, Proc. Sym. Pure Math. 33, Part 1 (1979), 209-212. | Zbl | MR
[Sh] - The multiplicity one theorem for , Ann. of Math. 100 (1974), 171-193. | Zbl | MR







