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Arithmetic of p-adic Modular Forms

  • Book
  • © 1988

Overview

Authors:
  1. Fernando Quadros Gouvêa
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1304)

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Table of contents (3 chapters)

  1. Front Matter

    Pages i-viii
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  2. p-adic modular forms

    • Fernando Quadros Gouvêa
    Pages 1-29

  3. The hecke and U operators

    • Fernando Quadros Gouvêa
    Pages 30-70

  4. Galois representations

    • Fernando Quadros Gouvêa
    Pages 71-116

  5. Back Matter

    Pages 117-121
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Arithmetic of p-adic Modular Forms

  • Authors: Fernando Quadros Gouvêa

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0082111

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-3-540-18946-6Published: 23 March 1988

  • eBook ISBN: 978-3-540-38854-8Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 122

  • Topics: Number Theory, Algebraic Geometry

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