Arithmetic of p-adic Modular Forms
β Fernando Q. Gouvea
π Library
π
1988
π Springer
π English
β¦ LIBER β¦
π
Arithmetic of p-adic Modular Forms
β Scribed by Fernando Quadros GouvΓͺa (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 1988
- Tongue
- English
- Leaves
- 128
- Series
- Lecture Notes in Mathematics 1304
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
β¦ Table of Contents
p-adic modular forms....Pages 1-29
The hecke and U operators....Pages 30-70
Galois representations....Pages 71-116
β¦ Subjects
Number Theory; Algebraic Geometry
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