Progrès récents en fonctorialité de Langlands
Séminaire Bourbaki (2000-2001)
- Volume: 43, page 301-322
- ISSN: 0303-1179
Access Full Article
topHow to cite
topHenniart, Guy. "Progrès récents en fonctorialité de Langlands." Séminaire Bourbaki 43 (2000-2001): 301-322. <http://eudml.org/doc/110293>.
@article{Henniart2000-2001,
author = {Henniart, Guy},
journal = {Séminaire Bourbaki},
keywords = {Langlands functoriality; L-function; converse theorem},
language = {fre},
pages = {301-322},
publisher = {Société Mathématique de France},
title = {Progrès récents en fonctorialité de Langlands},
url = {http://eudml.org/doc/110293},
volume = {43},
year = {2000-2001},
}
TY - JOUR
AU - Henniart, Guy
TI - Progrès récents en fonctorialité de Langlands
JO - Séminaire Bourbaki
PY - 2000-2001
PB - Société Mathématique de France
VL - 43
SP - 301
EP - 322
LA - fre
KW - Langlands functoriality; L-function; converse theorem
UR - http://eudml.org/doc/110293
ER -
References
top- [CORV] Automorphic forms, Representations and L-functions, A. Borel et W. Casselman eds, PSPM33, 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 Mathematics104, Birkhäuser (1992). Zbl0756.22004MR1162533
- [AC] J. Arthur, L. Clozel - Simple algebras, base change, and the advan- ced theory of the trace formula, Annals of Math. Studies120, Princeton University Press (1989). Zbl0682.10022MR1007299
- [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. Zbl0414.22020MR546598
- [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. Zbl1015.11021MR1845181
- [Ca] H. Carayol - Preuve de la conjecture de Langlands locale pour GL(n) : travaux de Harris-Taylor et Henniart, Sém. Bourbaki, exp. n° 857, mars 1999, Astérisque266 (2000), 11-244. Zbl0958.11077MR1772675
- [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. Zbl1028.11029
- [CPS1] J. Cogdell, I. Piatetski-Shapiro - Converse theorems for GLn, Publ. Math. I.H.É.S.79 (1994), 157-214. Zbl0814.11033MR1307299
- [CPS2] J. Cogdell, I. Piatetski-Shapiro - Converse theorems for GLn, IIJ. Reine Angew. Math.507 (1999), 165-188. Zbl0912.11022MR1670207
- [G] S. Gelbart - Automorphic forms on adele groups, Annals of Math. Studies83, Princeton University Press (1975). Zbl0329.10018MR379375
- [GJ] S. Gelbart, H. Jacquet - A relation between automorphic representations of GL(2) and GL(3), Ann. Sci. Éc. Norm. Sup.11 (1978), 471-552. Zbl0406.10022MR533066
- [GS1] S. Gelbart, F. Shahidi - Analytic properties of automorphic L-functions, Perspectives in Mathematics, vol. 6, Academic Press (1988). Zbl0654.10028MR951897
- [GS2] S. Gelbart, F. Shahidi - Boundedness of automorphic L-functions in vertical strips, J.A.M.S., 14 (2000), 79-107. Zbl1050.11053MR1800349
- [GRS] D. Ginzburg, S. Rallis, D. Soudry — Generic automorphic forms on SO(2n + 1) : functorial lift to GL(2n), endoscopy and base change, prépublication 2001. Zbl1060.11031MR1846354
- [GoJ] R. Godement, H. Jacquet - Zeta functions of simple algebras, L.N.M.260, Springer-Verlag (1972). Zbl0244.12011MR342495
- [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. Studies151, Princeton University Press. Zbl1036.11027MR1876802
- [He] G. Henniart — Une preuve simple des conjectures de Langlands pour GL(n) sur un corps p-adique, Invent. Math.139 (2000), 439-455. Zbl1048.11092MR1738446
- [Hj] D.A. Hejhal — The Selberg trace formula for PSL(2, R), Appendice C, L.N.M.548 (1976) & 1001 (1983), Springer-Verlag. Zbl0543.10020
- [I] H. Iwaniec — Introduction to the spectral theory of automorphic forms, Biblioteca de la revista matemática iberoamericana (1995). Zbl0847.11028MR1325466
- [IS] H. Iwaniec, P. Sarnak — Perspectives on the analytic theory of L-functions, G.A.F.A.10 (2000). Zbl0996.11036
- [J] H. Jacquet - Principal L-functions of the linear group, in [CORV], Part II, 63-86. Zbl0413.12007MR546609
- [JL] H. Jacquet, R.P. Langlands — Automorphic forms on GL(2), L.N.M.114 (1971), Springer-Verlag. Zbl0236.12010MR401654
- [JS] H. Jacquet, J. Shalika — On Euler Products and the classification of automorphic forms, II, Amer. J. Math.103 (1981), 777-815. Zbl0491.10020MR623137
- [JPSS1] H. Jacquet, I. Piatetski-Shapiro, J. Shalika - Automorphic forms on GL(3), Am. J. Math.109 (1979), 169-258. Zbl0401.10037MR519356
- [JPSS2] H. Jacquet, I. Piatetski-Shapiro, J. Shalika — Rankin-Selberg convolutions, Am. J. Math.105 (1983), 367-464. Zbl0525.22018MR701565
- [JPSS3] H. Jacquet, I. Piatetski-Shapiro, J. Shalika — Relèvement cubique non normal, C.R.A.S. Paris292 (1981), 567-571. Zbl0475.12017MR615450
- [JiS1] D. Jiang, D. Soudry — The local converse theorem for SO(2n + 1) and applications, prépublication 2001.
- [JiS2] D. Jiang, D. Soudry — Generic representations and local Langlands reciprocity for SO(2n + 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. Zbl0934.11024MR1701344
- [K2] H. Kim — Langlands-Shahidi method and poles of automorphic L-functions, II, Israel J. Math.117 (2000). Zbl1041.11035MR1760595
- [K3] H. Kim — Functoriality for the exterior square of GL4 and symmetric fourth of GL2, 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 GL2 × GL3 and functorial symmetric cube for GL2, C.R.A.S. Paris331 (2000), 539-604. Zbl1002.11044MR1799096
- [KS1] H. Kim, F. Shahidi — Functorial products for GL2×GL3 and the symmetric cube for GL2, 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. Zbl1074.11027
- [LL] J.-P. Labesse, R.P. Langlands — L-indistinguishability for SL(2), Can. J. Math.31 (1979), 726-785. Zbl0421.12014MR540902
- [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. Zbl0225.14022MR302614
- [La2] R.P. Langlands — On the functional equations satisfied by Eisenstein series, L.N.M.544, Springer-Verlag (1976). Zbl0332.10018MR579181
- [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 Monographs31, A.M.S. (1989), 101-170. Zbl0741.22009MR1011897
- [La4] R.P. Langlands — Base change for GL(2), Annals of Math. Studies96, Princeton University Press (1980). Zbl0444.22007MR574808
- [La5] R.P. Langlands — Automorphic representations, Shimura varieties, and motives : Ein Märchen, in [CORV], Part II, 205-246. Zbl0447.12009MR546619
- [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. Zbl0687.22004MR1074479
- [Ln] G. Laumon — La correspondance de Langlands sur les corps de fonctions (d'après L. Lafforgue), Sém. Bourbaki, exp. n° 873, mars 2000, Astérisque276 (2002), 207-265. Zbl1016.11052MR1886762
- [LRS] W. Luo, Z. Rudnick, P. Sarnak — On the generalized Ramanujan conjecture for GLn, P.S.P.M.66, Part II (1999), 301-310. Zbl0965.11023MR1703764
- [Ra1] D. Ramakrishnan — On the coefficients of cusp forms, Math. Res. Letters4 (1997), 295-307. Zbl0883.11020MR1453061
- [Ra2] D. Ramakrishnan — Modularity of the Rankin-Selberg L-series, and multiplicity one for SL(2), Annals of Math.152 (2000), 45-111. Zbl0989.11023MR1792292
- [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. Zbl0467.12013MR610479
- [Sh2] F. Shahidi — Fourier transforms of intertwining operators and Plancherel measures for GL(n), Amer. J. of Math.106 (1984), 67-111. Zbl0567.22008MR729755
- [Sh3] F. Shahidi — Local coefficients as Artin factors for real groups, Duke Math. J.52 (1985), 973-1007. Zbl0674.10027MR816396
- [Sh4] F. Shahidi — On the Ramanujan conjecture and finiteness of poles for certain L-functions, Annals of Math.127 (1988), 547-584. Zbl0654.10029MR942520
- [Sh5] F. Shahidi — A proof of Langlands' conjecture on Plancherel measures; complementary series for p-adic groups, Annals of Math.132 (1990), 273- 330. Zbl0780.22005MR1070599
- [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. Zbl0475.12016MR621884
- [We] A. Weil — Dirichlet series and automorphic forms, L.N.M.189, Springer-Verlag (1971). Zbl0218.10046
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.