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Modular Functions of One Variable II

Proceedings International Summer School, University of Antwerp, RUCA, July 17 - August 3, 1972

P. Deligne, Willem Kuyk (Herausgeber)

Buch | Softcover

VIII, 600 Seiten

1973 | 1973
Springer Berlin (Verlag)
978-3-540-06558-6 (ISBN)

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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.

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.

Erscheint lt. Verlag	1.1.1973
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VIII, 600 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	1031 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Algebra • APOP • arithmetic • constant • Elliptic Curve • Equation • Form • Function • Functions • modular form • presentation • University • Variable • Volume
ISBN-10	3-540-06558-X / 354006558X
ISBN-13	978-3-540-06558-6 / 9783540065586
Zustand	Neuware