Arithmetic of p-adic Modular Forms

Fernando Q. Gouvea

ISBN 10: 3540189467 / ISBN 13: 9783540189466

Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Mär 1988, 1988

Riguardo questo articolo

Neuware -The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur. The classical theory of modular forms is assumed known to the reader, but the p-adic theory is reviewed in detail, with ample intuitive and heuristic discussion, so that the book will serve as a convenient point of entry to research in that area. The results on the U operator and on Galois representations are new, and will be of interest even to the experts. A list of further problems in the field is included to guide the beginner in his research. The book will thus be of interest to number theorists who wish to learn about p-adic modular forms, leading them rapidly to interesting research, and also to the specialists in the subject.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 132 pp. Englisch.

Codice articolo 9783540189466

Dati bibliografici

• Titolo: Arithmetic of p-adic Modular Forms
• Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Mär 1988
• Data di pubblicazione: 1988
• Lingua: Inglese
• ISBN 10: 3540189467
• ISBN 13: 9783540189466
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 8 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 8 millimetri di profondità
• Peso: 213 grammi

Descrizione articolo

Riassunto

The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur. The classical theory of modular forms is assumed known to the reader, but the p-adic theory is reviewed in detail, with ample intuitive and heuristic discussion, so that the book will serve as a convenient point of entry to research in that area. The results on the U operator and on Galois representations are new, and will be of interest even to the experts. A list of further problems in the field is included to guide the beginner in his research. The book will thus be of interest to number theorists who wish to learn about p-adic modular forms, leading them rapidly to interesting research, and also to the specialists in the subject.

Contenuti

p-adic modular forms.- The hecke and U operators.- Galois representations.