Arithmetic of p-adic modular forms /

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Bibliographic Details
Author / Creator:Gouvêa, Fernando Q. (Fernando Quadros)
Imprint:Berlin ; New York : Springer-Verlag, ©1988.
Description:1 online resource (viii, 121 pages) : illustrations.
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1304
Lecture notes in mathematics (Springer-Verlag) ; 1304.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11069848
Hidden Bibliographic Details
ISBN:9783540388548
3540388540
3540189467
9783540189466
0387189467
9780387189468
Notes:Includes bibliographical references (pages 117-119) and index.
Print version record.
Summary: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.
Other form:Print version: Gouvêa, Fernando Q. (Fernando Quadros). Arithmetic of p-adic modular forms. Berlin ; New York : Springer-Verlag, ©1988 3540189467