Hilbert Modular Forms and Iwasawa Theory

Hardcover | June 8, 2006

byHaruzo Hida

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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 foundfor 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 forresearchers and graduate students entering this research area.

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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 foundfor this technique. In the book, the deforma...

Haruzo Hida is at University of California, Los Angeles.

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Format:HardcoverDimensions:416 pages, 9.21 × 6.14 × 1.09 inPublished:June 8, 2006Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:019857102X

ISBN - 13:9780198571025

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Table of Contents

Preface1. Introduction2. Automorphic forms on inner forms of GL(2)3. Hecke algebras as Galois deformation rings4. Geometric modular forms5. Modular Iwasawa theoryReferencesIndex