Book contents
- Frontmatter
- Contents
- List of contributors
- Preface
- 1 A semi-stable case of the Shafarevich Conjecture
- 2 Irreducible modular representations of the Borel subgroup of GL2(Qp)
- 3 p-adic L-functions and Euler systems: a tale in two trilogies
- 4 Effective local Langlands correspondence
- 5 The conjectural connections between automorphic representations and Galois representations
- 6 Geometry of the fundamental lemma
- 7 The p-adic analytic space of pseudocharacters of a profinite group and pseudorepresentations over arbitrary rings
- 8 La série principale unitaire de GL2(Qp): vecteurs localement analytiques
- 9 Equations différentielles p-adiques et modules de Jacquet analytiques
- References
4 - Effective local Langlands correspondence
Published online by Cambridge University Press: 05 October 2014
Book contents
- Frontmatter
- Contents
- List of contributors
- Preface
- 1 A semi-stable case of the Shafarevich Conjecture
- 2 Irreducible modular representations of the Borel subgroup of GL2(Qp)
- 3 p-adic L-functions and Euler systems: a tale in two trilogies
- 4 Effective local Langlands correspondence
- 5 The conjectural connections between automorphic representations and Galois representations
- 6 Geometry of the fundamental lemma
- 7 The p-adic analytic space of pseudocharacters of a profinite group and pseudorepresentations over arbitrary rings
- 8 La série principale unitaire de GL2(Qp): vecteurs localement analytiques
- 9 Equations différentielles p-adiques et modules de Jacquet analytiques
- References
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- Automorphic Forms and Galois Representations , pp. 102 - 134Publisher: Cambridge University PressPrint publication year: 2014
References
[1] and , Simple algebras, base change, and the advanced theory of the trace formula, Annals of Math. Studies, vol. 120, Princeton University Press, 1989.
[2] and , Local tame lifting for GL(n) I: simple characters, Publ. Math. IHES 83 (1996), 105–233.Google Scholar
[3] , Local Rankin-Selberg convolution for GL(n): divisibility of the conductor, Math. Ann. 321 (2001), 455–461.Google Scholar
[4] , On certain dyadic representations. Appendix to H. Kim and F. Shahidi, Functorial products for GL(2) × GL(3) and functorial symmetric cube for GL(2), Annals of Math. (2) 155 (2002), 883–893.Google Scholar
[5] , Local tame lifting for GL(n) IV: simple characters and base change, Proc. London Math. Soc. 87 (2003), 337–362.Google Scholar
[6] , Local tame lifting for GL(n) III: explicit base change and Jacquet-Langlands correspondence, J. reine angew. Math. 508 (2005), 39–100.Google Scholar
[7] , The essentially tame local Langlands correspondence, I J. Amer. Math. Soc. 18 (2005), 685–710.Google Scholar
[8] , The essentially tame local Langlands correspondence, II: totally ramified representations, Compositio Mathematica 141 (2005), 979–1011.Google Scholar
[9] , The local Langlands Conjecture for GL(2) Grundlehren der mathematischen Wissenschaften, vol. 335, Springer, 2006.
[10] , The essentially tame local Langlands correspondence, III: the general case, Proc. London Math. Soc. (3) 101 (2010), 497–553.Google Scholar
[11] , The essentially tame local Jacquet-Langlands correspondence, Pure App. Math. Quarterly 7 (2011), 469–538.Google Scholar
[12] , Explicit functorial correspondences for level zero representations of p-adic linear groups, J. Number Theory 131 (2011), 309–331.Google Scholar
[13] , To an effective local Langlands correspondence, Memoirs Amer. Math. Soc., to appear. arXiv:1103.5316.
[14] , Modular local Langlands correspondence for GLn, Int. Math. Res. Not. (2013), doi: 10.1093/imrn/rnt063.
[15] and , The admissible dual of GL(N) via compact open subgroups, Annals of Math. Studies, vol. 129, Princeton University Press, 1993.
[16] , Correspondences of characters for relatively prime operator groups, Canadian J. Math. 20 (1968), 1465–1488.Google Scholar
[17] , The characters of the finite general linear groups, Trans. Amer. Math. Soc. 80 (1955), 402–447.Google Scholar
[18] and , On the geometry and cohomology of some simple Shimura varieties, Annals of Math. Studies, vol. 151, Princeton University Press, 2001.
[19] , La conjecture locale de Langlands pour GL(3), Mém. Soc. Math. France, nouvelle série 11/12 (1984).Google Scholar
[20] , Caractérisation de la correspondance de Langlands locale par les facteurs ε de paires, Invent. Math. 113 (1993), 339–356.Google Scholar
[21] , Une preuve simple des conjectures locales de Langlands pour GLn sur un corps p-adique, Invent. Math. 139 (2000), 439–455.Google Scholar
[22] and , Automorphic induction for GL(n) (over local nonarchimedean fields), Duke Math. J. 78 (1995), 131–192.Google Scholar
[23] and , Changement de base et induction automorphe pour GLn en caractéristique non nulle, Mém. Soc. Math. France 108 (2010).Google Scholar
[25] , Supercuspidal representations: an exhaustion theorem, J. Amer. Math. Soc. 20 (2007), 273–320.Google Scholar
[26] , The Langlands conjecture for GL2 of a local field, Annals of Math. 112 (1980), 381–412.Google Scholar
[27] , and , D-elliptic sheaves and the Langlands correspondence, Invent. Math. 113 (1993), 217–338.Google Scholar
[28] , Sur la correspondance de Langlands-Kazhdan, J. Math. Pures et Appl. (9) 69 (1990), 175–226.Google Scholar
[29] and , Unrefined minimal K -types for p-adic groups, Invent. Math. 116 (1994), 393-408.Google Scholar
[30] , Maximal orders, Oxford University Press, 2003.
[31] and , Représentations lisses de GLm(D), IV: représentations supercuspidales. J. Inst. Math. Jussieu 7 (2008), 527–574.Google Scholar
[32] , Fourier transforms of intertwining operators and Plancherel measures for GL(n), Amer. J. Math. 106 (1984), 67–111.Google Scholar
[33] and , An explicit matching theorem for level zero discrete series of unit groups of р-adic simple algebras, J. reine angew. Math. 585 (2005), 173–235.Google Scholar
[34] , The supercuspidal representations of p-adic classical groups, Invent. Math. 172 (2008), 289–352.Google Scholar
[35] , Reductive groups over local fields, Automorphic forms, representations and L-functions ( and , eds.), Proc. Symp. Pure Math.,vol. 33(1), Amer. Math. Soc., 1979, pp. 29–69.
[36] , Construction of tame supercuspidal representations, J. Amer. Math. Soc. 14 (2001), 579–622.Google Scholar
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