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Hilbert Modular Forms and Iwasawa Theory (Oxford Mathematical Monographs)

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Hilbert Modular Forms and Iwasawa Theory (Oxford Mathematical Monographs) Cover

 

Synopses & Reviews

Publisher Comments:

The 1995 work of Wiles and Taylor-Wiles opened up a whole new technique in algebraic number theory and, a decade on, the waves caused by this incredibly important work are still being felt. This book, authored by a leading researcher, describes the striking applications that have been found for this technique. In the book, the deformation theoretic techniques of Wiles-Taylor are first generalized to Hilbert modular forms (following Fujiwara's treatment), and some applications found by the author are then discussed. With many exercises and open questions given, this text is ideal for researchers and graduate students entering this research area.

Table of Contents

Preface

1. Introduction

2. Automorphic forms on inner forms of GL(2)

3. Hecke algebras as Galois deformation rings

4. Geometric modular forms

5. Modular Iwasawa theory

References

Index

Product Details

ISBN:
9780198571025
Author:
Hida, Haruzo
Publisher:
Oxford University Press, USA
Subject:
Number Theory
Subject:
Forms, Modular.
Subject:
Hilbert modular surfaces.
Subject:
Mathematics | Pure Mathematics
Subject:
Iwasawa theory
Subject:
Mathematics-Number Theory
Series:
Oxford Mathematical Monographs
Publication Date:
20060831
Binding:
HARDCOVER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
31 line illus.
Pages:
416
Dimensions:
6 x 9.4 x 1.1 in 1.631 lb

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Hilbert Modular Forms and Iwasawa Theory (Oxford Mathematical Monographs) New Hardcover
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