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Hilbert modular forms and Iwasawa theory

โœ Scribed by Hida, Haruzo

Publisher
Clarendon Press
Year
2006
Tongue
English
Leaves
417
Series
Oxford mathematical monographs
Edition
1
Category
Library
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โœฆ Synopsis

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.

โœฆ Table of Contents

Content: 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

๐Ÿ“œ SIMILAR VOLUMES

Hilbert Modular Forms and Iwasawa Theory
๐Ÿ“ Hilbert Modular Forms and Iwasawa Theory
โœ Haruzo Hida ๐Ÿ“‚ Library ๐Ÿ“… 2006 ๐Ÿ› Oxford University Press ๐ŸŒ English

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 thi

Hilbert Modular Forms and Iwasawa Theory
๐Ÿ“ Hilbert Modular Forms and Iwasawa Theory
โœ Haruzo Hida ๐Ÿ“‚ Library ๐Ÿ“… 2006 ๐Ÿ› Oxford University Press, USA ๐ŸŒ English

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 thi

Hilbert Modular Forms and Iwasawa Theory
๐Ÿ“ Hilbert Modular Forms and Iwasawa Theory
โœ Haruzo Hida ๐Ÿ“‚ Library ๐Ÿ“… 2006 ๐Ÿ› Oxford University Press, USA ๐ŸŒ English

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 thi

Hilbert Modular Forms and Iwasawa Theory
๐Ÿ“ Hilbert Modular Forms and Iwasawa Theory
โœ Haruzo Hida ๐Ÿ“‚ Library ๐Ÿ“… 2006 ๐Ÿ› Oxford University Press, USA ๐ŸŒ English

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