GEOMETRIC MODULAR FORMS AND ELLIPTIC CURVES - Hardcover

Haruzo Hida

Hardcover

ISBN 10: 9810243375 ISBN 13: 9789810243371

Publisher: World Scientific Publishing Company, 2001

Synopsis

This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms. The construction of Galois representations, which play a fundamental role in Wiles' proof of the Shimura-Taniyama conjecture, is given. In addition, the book presents an outline of the proof of diverse modularity results of two-dimensional Galois representations (including that of Wiles), as well as some of the author's new results in that direction.

About this title

Review

"... this is a welcome addition to the literature in a field difficult to penetrate. This book should obviously be carefully studied by advanced students and by professional mathematicians in arithmetic algebraic geometry or (modern) number theory." --Mathematical Reviews

"Geometric Modular Forms and Elliptic Curves is suited for both the (advanced and specialized) classroom and (well-prepared and highly motivated) reader bent of serious self-study. Beyond this, the book's prose is clear, there are examples and exercises available, and, as always, the serious student should have a go at them: he will reap wonderful benefits." --MAA Reviews

Edition details

• Publisher: World Scientific Publishing Company
• Publication date: 2001
• Language: English
• ISBN 10: 9810243375
• ISBN 13: 9789810243371
• Binding: Hardcover
• Edition number: 1
• Number of pages: 350