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Book Review

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Book Information

Author(s): J. Bernstein and S. Gelbart (Editors), with contributions by D. Bump, J. W. Cogdell, D. Gaitsgory, E. de Shalit, E. Kowalski, S. S. Kudla
Title: Introduction to the Langlands program
Additional book information: Birkhäuser, Boston, 2003, x + 281, $39.95, 0-8176-3211-5

References:

[BCDT]
C. Breuil, B. Conrad, F. Diamond, and R. Taylor, On the modularity of elliptic curves over $\mathbb{Q} $, J. Am. Math. Soc., 14 (2001) 843-939. MR 2002d:11058

[CKPSS]
J. W. Cogdell, H. Kim, I. I. Piatetski-Shapiro, and F. Shahidi, On lifting from classical groups to $GL_{n}$, Publ. Math. IHES, 93 (2001) 5-30; II (manuscript, 2003). MR 2002i:11048

[GRS]
D. Ginzburg, S. Rallis, and D. Soudry, Generic automorphic forms on $SO_{2n+1}$: functorial lift to $GL_{2n}$, endoscopy, and base change. Internat. Math. Res. Notices, 14 (2001), 729-764. MR 2002g:11065

[HT]
M. Harris and R. Taylor, On the geometry and cohomology of some simple Shimura varieties, Annals of Math. Studies, 151 (2001). MR 2002m:11050

[He]
G. Henniart, Une preuve simple des conjectures de Langlands pour $GL(n)$ sur un corps $p$-adique, Invent. Math., 139 (2000) 439-455. MR 2001e:11052

[L]
L. Lafforgue, Chtoucas de Drinfeld et correspondance de Langlands, Invent. Math. 147 (2002) 1-241. MR 2002m:11039

[LRS]
G. Laumon, M. Rapoport, and U. Stuhler, $\mathcal{D}$-elliptic sheaves and the Langlands correspondence, Invent. Math., 113 (1993) 217-338. MR 96e:11077

[S]
F. Shahidi, Automorphic $L$-functions and functoriality, Proceedings of the ICM 2002, Vol. II (2002) 655-666. MR 2003k:11084

[TW]
R. Taylor and A. Wiles, Ring theoretic properties of certain Hecke algebras, Annals of Math., 141 (1995) 553-572. MR 96d:11072

[W]
A. Wiles, Modular elliptic curves and Fermat's last theorem, Annals of Math., 141 (1995) 443-551. MR 96d:11071

Additional Information:

Reviewer(s):
Michael Harris
Affiliation: Université Paris 7
Email: harris@math.jussieu.fr

Review Information:
Journal: Bull. Amer. Math. Soc. 41 (2004), 257-266.

MSC (2000): Primary 11Mxx, 11Fxx, 11R39, 11S37, 14Hxx, 22Exx
DOI: 10.1090/S0273-0979-04-01007-9
PII: S 0273-0979(04)01007-9
Posted: January 20, 2004
Copyright of article: Copyright 2004, American Mathematical Society

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