Bulletin of the American Mathematical Society

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Book Information:

Authors: Michael Harris and Richard Taylor
Title: The geometry and cohomology of some simple Shimura varieties
Additional book information: with an appendix by Vladimir G. Berkovich, Annals of Mathematics Studies, Number 151, Princeton University Press, Princeton, NJ, 2001, viii + 276 pp., ISBN 0-691-09092-0, $35.00$, paperback; ISBN 0-691-09090-4, $65.00$, cloth

1.

H. Carayol, Preuve de la conjecture de Langlands locale pour : travaux de Harris-Taylor et Henniart. Sém. Bourbaki no. 857. Astérisque no. 266, SMF, Paris (2000), 191-244. MR 2001i:11136

2.

P. Deligne, Les constantes des équations functionelles des functions . Modular Forms II, Lecture Notes in Math. 349, Springer-Verlag (1973), 501-595. MR 50:2128

3.

M. Harris, On the local Langlands correspondence. To appear in Proc. of the Beijing ICM, 2002. Also available at http://www.math.jussieu.fr/~harris.

4.

G. Henniart, Caractérisation de la correspondence de Langlands par les facteurs de paires. Invent. Math. 113 (1993), 339-350. MR 96e:11078

5.

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

6.

G. Henniart, A report on the proof of the Langlands conjectures for over -adic fields. Current Developments in Mathematics 1999. International Press (1999).

7.

G. Henniart, Sur la conjecture de Langlands locale pour . J. Théor. Nombres Bordeaux 13 (2001), no. 1, 167-187. MR 2002f:11178

8.

H. Jacquet, I. I. Piatetski-Shapiro, J. Shalika, Rankin-Selberg convolutions. Amer. J. Math. 105 (1983), 367-483. MR 85g:11044

9.

R. Taylor, Galois Representations. Preprint. Available at http://www.math.harvard. edu/rtaylor.

10.

A. V. Zelevinsky, Induced representations of reductive -adic groups: on irreducible representations of . Ann. Scient. Éc. Norm. Sup. (4) 13 (1980), 165-210. MR 83g:22012

1.

H. Carayol, Preuve de la conjecture de Langlands locale pour : travaux de Harris-Taylor et Henniart. Sém. Bourbaki no. 857. Astérisque no. 266, SMF, Paris (2000), 191-244. MR 2001i:11136

2.

P. Deligne, Les constantes des équations functionelles des functions . Modular Forms II, Lecture Notes in Math. 349, Springer-Verlag (1973), 501-595. MR 50:2128

3.

M. Harris, On the local Langlands correspondence. To appear in Proc. of the Beijing ICM, 2002. Also available at http://www.math.jussieu.fr/~harris.

4.

G. Henniart, Caractérisation de la correspondence de Langlands par les facteurs de paires. Invent. Math. 113 (1993), 339-350. MR 96e:11078

5.

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

6.

G. Henniart, A report on the proof of the Langlands conjectures for over -adic fields. Current Developments in Mathematics 1999. International Press (1999).

7.

G. Henniart, Sur la conjecture de Langlands locale pour . J. Théor. Nombres Bordeaux 13 (2001), no. 1, 167-187. MR 2002f:11178

8.

H. Jacquet, I. I. Piatetski-Shapiro, J. Shalika, Rankin-Selberg convolutions. Amer. J. Math. 105 (1983), 367-483. MR 85g:11044

9.

R. Taylor, Galois Representations. Preprint. Available at http://www.math.harvard. edu/rtaylor.

10.

A. V. Zelevinsky, Induced representations of reductive -adic groups: on irreducible representations of . Ann. Scient. Éc. Norm. Sup. (4) 13 (1980), 165-210. MR 83g:22012