This can be quantity 2 of the court cases of the overseas summer season college on "Modular features of 1 variable and arithmetical purposes" which happened at RUCA, Antwerp collage, from July 17 until eventually August three, 1972. It comprises papers by means of W. Casselman, P. Deligne, R. Langlands and 1. 1. Piateckii-Shapiro. Its subject is the interaction among modular schemes for elliptic curves, and representations of GL(2). P. Deligne W. Kuyk CONTENTS W. CASSELMAN An collection of effects on represen- 1 tations of GL (k) 2 P. DELIGNE Formes mOdulaires et representations fifty five 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 varieties and t-adic representations 361 P. DELIGNE Les constantes des equations fonctionnelles 501 des fonctions L Addresses of authors 598 AN collection OF effects ON REPRESENTATIONS OF GL (k) 2 by means of W. Casselman~ overseas summer time college on Modular features} Antwerp 1972 ~ The author's commute expences for this convention have been paid for by means of a provide from the nationwide learn Council of Canada. -2- Cas-2 Contents advent three Notations 1. Generalities five Appendix 2. The critical sequence representations of 15 GL (O) and the linked Hecke algebras 2 three. The important sequence of G 29 four.
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