Automorphic forms, representations, and L-functions, Part 2

Cover......Page 1
Copyright Page......Page 2
Contents......Page 3
Number Theoretic Background......Page 6
Automorphic L-Functions......Page 30
Principal L-Functions of the Linear Group......Page 65
Automorphic L-Functions for Symplectic Group GS_p(4)......Page 89
On Lifting of Holomorphic Cusp Forms......Page 98
Orbital Integrals and Base Change......Page 112
The Solution of a Base Change Problem for GL(2)......Page 115
Report on the Local Langlands Conjecture for GL(2)......Page 134
The Hasee-Weil \\xi-Function of Some Moduli Varietes of Dimension Greater than One......Page 138
Points on Shimura Varietes mod p......Page 161
Combinatorics and Shimura Varietes mod p......Page 181
Notes on L-Indistinguishability......Page 189
Automorphic Representactions, Simura Varietes and Motives Ein Märchen......Page 200
Varietes de Simura: Interprétation Modulaire, et Techniques de Construction de Modêles Canoniques......Page 242
Congruence Relations and Shimura Curves......Page 285
Valeurs de Fonctions L et Périodes D\'Intégrales......Page 305
Appendix by N. Koblitz and A. Ogus: Algebraicity of some products of values of the \\Gamma function......Page 335
An Introduction to Drinfelds \"Shtuka\"......Page 339
Automorphic Forms on GL_2 over Function Fields......Page 349