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

✍ Scribed by American Mathematical Society

• Publisher: AMS Bookstore
• Year: 1979
• Tongue: English
• Leaves: 391
• Series: Proceedings of Symposia in Pure Mathematics 33, Part 2
• Category: Library

✦ Synopsis

Proceedings of Symposia in Pure Mathematics

✦ Table of Contents

Cover......Page 1
Title Page......Page 4
Copyright Page......Page 5
III. Automorphic representations and L-functions ......Page 10
Number theoretic background......Page 12
Automorphic L-functions......Page 36
Principal L-functions of the linear group......Page 72
Automorphic L-functions for the symplectic group GSp4......Page 96
On liftings of holomorphic cusp forms......Page 106
Orbital integrals and base change......Page 120
The solution of a base change problem for GL(2) (following Langlands, Saito, Shintani)......Page 124
Report on the local Langlands conjecture for GL_2......Page 144
IV. Arithmetical algebraic geometry and automorphic L-functions ......Page 148
The Hasse-Weil ic-function of some moduli varieties of dimension greater than one......Page 150
Points on Shimura varieties mod p......Page 174
Combinatorics and Shimura varieties mod p (based on lectures by Langlands)......Page 194
Notes on L-indistinguishability (based on a lecture by R. P. Langlands)......Page 202
Automorphic representations, Shimura varieties, and motives. Ein Marchen......Page 214
Varietes de Shimura: Interpretation modulaire, et techniques de construction de modeles canoniques......Page 256
Congruence relations and Shimura curves......Page 300
Valeurs de fonctions L et periodes d'integrales......Page 322
Algebraicity of some products of values of the r function......Page 352
An introduction to Drinfeld's "Shtuka"......Page 356
Automorphic forms on GL_2 over function fields (after V. G. Drinfeld)......Page 366
Author Index......Page 390