Modular Functions of One Variable II: Proceedings International Summer School, University of Antwerp, RUCA, July 17 - August 3, 1972: 349 - Brossura

Brossura

ISBN 10: 354006558X ISBN 13: 9783540065586

Casa editrice: Springer, 2009

Riassunto

This 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.

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Contenuti

An 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.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 354006558X
• ISBN 13: 9783540065586
• Rilegatura: Copertina flessibile
• Numero di pagine: 604
• Redattore: Deligne Pierre
• Contatto del produttore: GPSR Kontakt; ProductSafety@springernature.com; ; Tiergartenstr. 17; Heidelberg; 69121; Germania