Automorphic forms, representations and L-functions [proceedings of the Symposium in Pure Mathematics of the American Mathematical Society, held at Oregon State University, Corvallis, Oregon, July 11 - August 5, 1977] 2 : [proceedings of the Symposium in P

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 Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions Contains sections on Automorphic representations and L-functions as well as Arithmetical algebraic geometry and L-functions. Contains sections on Reductive groups, representations, Automorphic forms and representations.