Progrès récents en fonctorialité de Langlands

Henniart, Guy

Séminaire Bourbaki : volume 2000/2001, exposés 880-893, Astérisque, no. 282 (2002), Exposé no. 890, 22 p.

MR Zbl

@incollection{SB_2000-2001__43__301_0,
     author = {Henniart, Guy},
     title = {Progr\`es r\'ecents en fonctorialit\'e de {Langlands}},
     booktitle = {S\'eminaire Bourbaki : volume 2000/2001, expos\'es 880-893},
     series = {Ast\'erisque},
     note = {talk:890},
     pages = {301--322},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {282},
     year = {2002},
     mrnumber = {1975183},
     zbl = {1029.22022},
     language = {fr},
     url = {http://archive.numdam.org/item/SB_2000-2001__43__301_0/}
}

TY  - CHAP
AU  - Henniart, Guy
TI  - Progrès récents en fonctorialité de Langlands
BT  - Séminaire Bourbaki : volume 2000/2001, exposés 880-893
AU  - Collectif
T3  - Astérisque
N1  - talk:890
PY  - 2002
SP  - 301
EP  - 322
IS  - 282
PB  - Société mathématique de France
UR  - http://archive.numdam.org/item/SB_2000-2001__43__301_0/
LA  - fr
ID  - SB_2000-2001__43__301_0
ER  -

%0 Book Section
%A Henniart, Guy
%T Progrès récents en fonctorialité de Langlands
%B Séminaire Bourbaki : volume 2000/2001, exposés 880-893
%A Collectif
%S Astérisque
%Z talk:890
%D 2002
%P 301-322
%N 282
%I Société mathématique de France
%U http://archive.numdam.org/item/SB_2000-2001__43__301_0/
%G fr
%F SB_2000-2001__43__301_0

Henniart, Guy. Progrès récents en fonctorialité de Langlands, dans Séminaire Bourbaki : volume 2000/2001, exposés 880-893, Astérisque, no. 282 (2002), Exposé no. 890, 22 p. http://archive.numdam.org/item/SB_2000-2001__43__301_0/

Bibliographie
Cité par

[CORV] Automorphic forms, Representations and L-functions, A. Borel et W. Casselman eds, PSPM 33, Parts 1 & II, A.M.S., Providence (1979).

[ABV] J. Adams, D. Barbasch, D. Vogan - The Langlands classification and irreducible characters for real reductive groups, Progress in Mathematics 104, Birkhäuser (1992). | MR | Zbl

[AC] J. Arthur, L. Clozel - Simple algebras, base change, and the advan- ced theory of the trace formula, Annals of Math. Studies 120, Princeton University Press (1989). | MR | Zbl

[B] A. Borel - Automorphic $L$ -functions, in [CORV], Part II, 27-62.

[BJ] A. Borel, H. Jacquet - Automorphic forms and automorphic representations, in [CORV], Part 1, 189-202. | MR | Zbl

[BH] C. Bushnell, G. Henniart - On certain dyadic representations, appendice à [KS1].

[BDST] K. Buzzard, M. Dickinson, N. Shepherd-Barron, R. Taylor - On icosahedral Artin representations, à paraître dans Duke Math. J. | MR | Zbl

[Ca] H. Carayol - Preuve de la conjecture de Langlands locale pour $G L_{(n)}$ : travaux de Harris-Taylor et Henniart, Sém. Bourbaki, exp. n° 857, mars 1999, Astérisque 266 (2000), 191-243. | Numdam | MR | Zbl

[CKPSS] J. Cogdell, H. Kim, I. Piatetski-Shapiro, F. Shahidi - On lifting from classical groups to GLN, à paraître dans Publ. Math. I.H.É.S. | EuDML | Numdam | Zbl

[CPS1] J. Cogdell, I. Piatetski-Shapiro - Converse theorems for $G L_{n}$ , Publ. Math. I.H.É.S. 79 (1994), 157-214. | Numdam | MR | Zbl

[CPS2] J. Cogdell, I. Piatetski-Shapiro - Converse theorems for $G L_{n}$ , II J. Reine Angew. Math. 507 (1999), 165-188. | MR | Zbl

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

[GJ] S. Gelbart, H. Jacquet - A relation between automorphic representations of $G L (2)$ and $G L (3)$ , Ann. Sci. Éc. Norm. Sup. 11 (1978), 471-552. | Numdam | MR | Zbl

[GS1] S. Gelbart, F. Shahidi - Analytic properties of automorphic $L$ -functions, Perspectives in Mathematics, vol. 6, Academic Press (1988). | MR | Zbl

[GS2] S. Gelbart, F. Shahidi - Boundedness of automorphic $L$ -functions in vertical strips, J.A.M.S., 14 (2000), 79-107. | MR | Zbl

[GRS] D. Ginzburg, S. Rallis, D. Soudry - Generic automorphic forms on $S O (2 n + 1)$ : functorial lift to $G L (2 n)$ , endoscopy and base change, prépublication 2001. | MR

[GoJ] R. Godement, H. Jacquet - Zeta functions of simple algebras, L.N.M. 260, Springer-Verlag (1972). | MR | Zbl

[HaT] M. Harris, R. Taylor - On the geometry and cohomology of some simple Shimura varieties, Prépub. Institut de Math. Jussieu (1999), à paraître dans Annals of Math. Studies 151, Princeton University Press. | MR | Zbl

[He] G. Henniart - Une preuve simple des conjectures de Langlands pour $G L (n)$ sur un corps $p$ -adique, Invent. Math. 139 (2000), 439-455. | MR | Zbl

[Hj] D. A. Hejhal - The Selberg trace formula for $P S L (2, ℝ)$ , Appendice C, L.N.M. 548 (1976) & 1001 (1983), Springer-Verlag. | Zbl

[I] H. Iwaniec - Introduction to the spectral theory of automorphic forms, Biblioteca de la revista matemática iberoamericana (1995). | MR | Zbl

[IS] H. Iwaniec, P. Sarnak - Perspectives on the analytic theory of $L$ -functions, G.A.F.A. 10 (2000). | Zbl

[J] H. Jacquet - Principal $L$ -functions of the linear group, in [CORV], Part II, 63-86. | MR | Zbl

[JL] H. Jacquet, R. P. Langlands - Automorphic forms on $G L (2)$ , L.N.M. 114 (1971), Springer-Verlag. | MR | Zbl

[JS] H. Jacquet, J. Shalika - On Euler Products and the classification of automorphic forms, II, Amer. J. Math. 103 (1981), 777-815. | MR | Zbl

[JPSS1] H. Jacquet, I. Piatetski-Shapiro, J. Shalika - Automorphic forms on $G L (3)$ , Am. J. Math. 109 (1979), 169-258. | MR | Zbl

[JPSS2] H. Jacquet, I. Piatetski-Shapiro, J. Shalika - Rankin-Selberg convolutions, Am. J. Math. 105 (1983), 367-464. | MR | Zbl

[JPSS3] H. Jacquet, I. Piatetski-Shapiro, J. Shalika - Relèvement cubique non normal, C.R.A.S. Paris 292 (1981), 567-571. | MR | Zbl

[JiS1] D. Jiang, D. Soudry - The local converse theorem for $S O (2 n + 1)$ and applications, prépublication 2001.

[JiS2] D. Jiang, D. Soudry - Generic representations and local Langlands reciprocity for $S O (2 n + 1)$ , prépublication 2001.

[KI] H. Kim - Langlands-Shahidi method and poles of automorphic $L$ -functions : Application to exterior square $L$ -functions, Can. J. Math. 51 (1998), 835- 849. | MR | Zbl

[K2] H. Kim - Langlands-Shahidi method and poles of automorphic $L$ -functions, II, Israel J. Math. 117 (2000). | MR | Zbl

[K3] H. Kim - Functoriality for the exterior square of $G L_{4}$ and symmetric fourth of $G L_{2}$ , prépublication 2000.

[K4] H. Kim - $L$ -functions and normalized intertwining operators, prépublication 2000.

[KSk] H. Kim, P. Sarnak - Refined estimates towards the Ramanujan and Selberg conjectures, appendice à [K3].

[KS0] H. Kim, F. Shahidi - Functorial products for $G L_{2} \times G L_{3}$ and functorial symmetric cube for $G L_{2}$ , C.R.A.S. Paris 331 (2000), 539-604. | MR | Zbl

[KS1] H. Kim, F. Shahidi - Functorial products for $G L_{2} \times G L_{3}$ and the symmetric cube for $G L_{2}$ , prépublication 2000, à paraître aux Annals of Math.

[KS2] H. Kim, F. Shahidi - Cuspidality of symmetric powers with applications, prépublication 2000, à paraître au Duke Math. Journal. | Zbl

[LL] J.-P. Labesse, R. P. Langlands - $L$ -indistinguishability for $S L (2)$ , Can. J. Math. 31 (1979), 726-785. | MR | Zbl

[La1] R. P. Langlands - Problems in the theory of automorphic forms, in Lectures in Modern Analysis and Applications, L.N.M. 170, Springer-Verlag (1970), 18-86. | MR | Zbl

[La2] R. P. Langlands - On the functional equations satisfied by Eisenstein series, L.N.M. 544, Springer-Verlag (1976). | MR | Zbl

[La3] R. P. Langlands - On the classification of irreducible representations of real algebraic groups, in Representation theory and harmonic analyis on semisimple Lie groups (P.J. Sally Jr, D.A. Vogan, eds), Math. Surveys and Monographs 31, A.M.S. (1989), 101-170. | MR | Zbl

[La4] R. P. Langlands - Base change for $G L (2)$ , Annals of Math. Studies 96, Princeton University Press (1980). | MR | Zbl

[La5] R. P. Langlands - Automorphic representations, Shimura varieties, and motives : Ein Märchen, in [CORV], Part II, 205-246. | MR | Zbl

[La6] R. P. Langlands - Endoscopy and beyond, Notes I.A.S., Princeton (2000).

[LP] M. Larsen, R. Pink - Determining representations from invariant dimensions, Invent. Math. 102 (1990), 377-398. | MR | Zbl

[Ln] G. Laumon - La correspondance de Langlands sur les corps de fonctions (d'après L. Lafforgue), Sém. Bourbaki, exp. n° 873, mars 2000, Astérisque 276 (2002), 207-265. | Numdam | MR | Zbl

[LRS] W. Luo, Z. Rudnick, P. Sarnak - On the generalized Ramanujan conjecture for GLn, P.S.P.M. 66, Part II (1999), 301-310. | MR | Zbl

[Ra1] D. Ramakrishnan - On the coefficients of cusp forms, Math. Res. Letters 4 (1997), 295-307. | MR | Zbl

[Ra2] D. Ramakrishnan - Modularity of the Rankin-Selberg $L$ -series, and multiplicity one for $S L (2)$ , Annals of Math. 152 (2000), 45-111. | MR | Zbl

[Sa1] P. Sarnak - Lettre à R.P. Langlands, avril 2001.

[Sa2] P. Sarnak - Lettre à H. Kim et F. Shahidi, 1er mai 2001.

[Se1] J.-P. Serre - Lettre à J.-M. Deshouillers, août 1981.

[Se2] J.-P. Serre - Lettre à H. Jacquet, mai 1982.

[Sh1] F. Shahidi - On certain $L$ -functions, Amer. J. of Math. 103 (1981), 297- 355. | MR | Zbl

[Sh2] F. Shahidi - Fourier transforms of intertwining operators and Plancherel measures for $G L (n)$ , Amer. J. of Math. 106 (1984), 67-111. | MR | Zbl

[Sh3] F. Shahidi - Local coefficients as Artin factors for real groups, Duke Math. J. 52 (1985), 973-1007. | MR | Zbl

[Sh4] F. Shahidi - On the Ramanujan conjecture and finiteness of poles for certain $L$ -functions, Annals of Math. 127 (1988), 547-584. | MR | Zbl

[Sh5] F. Shahidi - A proof of Langlands' conjecture on Plancherel measures; complementary series for $p$ -adic groups, Annals of Math. 132 (1990), 273- 330. | MR | Zbl

[Ty] R. Taylor - On icosahedral Artin representations, II, prépublication Harvard University, 2001.

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

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