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OverviewThis is Volume 2 of the Proceedings of the International Summer School on ""Modular functions of one variable and arithmetical applications"" which took place at RUCA, Antwerp University, from July 17 till August 3, 1972. It contains papers by W. Casselman, P. Deligne, R. Langlands and 1. 1. Piateckii-Shapiro. Its theme is the interplay between modular schemes for elliptic curves, and representations of GL(2). P. Deligne W. Kuyk CONTENTS W. CASSELMAN An assortment of results on represen- 1 tations of GL (k) 2 P. DELIGNE Formes mOdulaires et representations 55 de GL(2) W. CASSELMAN On representations of GL and the arith- 107 2 metic of modular curves P. DELIGNE - M. RAPOPORT Les schemas de modules de courbes ellip- 143 tiques 1. 1. PIATECKII-SHAPIRO Zeta-functions of modular curves 317 R. P. LANGLANDS Modular forms and t-adic representations 361 P. DELIGNE Les constantes des equations fonctionnelles 501 des fonctions L Addresses of authors 598 AN ASSORTMENT OF RESULTS ON REPRESENTATIONS OF GL (k) 2 by W. Casselman~ International Summer School on Modular Functions} Antwerp 1972 ~ The author's travel expences for this conference were paid for by a grant from the National Research Council of Canada. -2- Cas-2 Contents Introduction 3 Notations 1. Generalities 5 Appendix 2. The principal series representations of 15 GL (O) and the associated Hecke algebras 2 3. The principal series of G 29 4. Full Product DetailsAuthor: P. Deligne , Willem KuykPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 1st ed. 1973. Corr. 2nd printing 1986 Volume: 349 Dimensions: Width: 15.50cm , Height: 3.10cm , Length: 23.50cm Weight: 1.066kg ISBN: 9783540065586ISBN 10: 354006558 Pages: 600 Publication Date: 01 January 1973 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of print, replaced by POD We will order this item for you from a manufatured on demand supplier. Table of ContentsAn Assortment of Results on Representations of GL2(k).- Formes Modulaires et Representations De GL(2).- On Representations of Gl2 and The Arithmetic of Modular Curves.- Les Schémas de Modules de Courbes Elliptiques.- Zeta-Functions of Modular Curves.- Modular Forms and ?-Adic Representations.- Les Constantes des Equations Fonctionnelles des Fonctions L.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |