Hilbert Modular Forms and Iwasawa Theory

Haruzo Hida (Autor)

Buch | Hardcover

420 Seiten

2006
Oxford University Press (Verlag)
978-0-19-857102-5 (ISBN)

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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, by a leading researcher, covers both this general area and that of Iwasawa Theory, which is currently enjoying a resurgence in popularity.

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.

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

Erscheint lt. Verlag	15.6.2006
Reihe/Serie	Oxford Mathematical Monographs
Zusatzinfo	numerous mathematical examples
Verlagsort	Oxford
Sprache	englisch
Maße	162 x 242 mm
Gewicht	782 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	0-19-857102-X / 019857102X
ISBN-13	978-0-19-857102-5 / 9780198571025
Zustand	Neuware