Hilbert Modular Forms and Iwasawa Theory
By (author) Haruzo Hida
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Hilbert Modular Forms and Iwasawa Theory by Haruzo Hida
Book DescriptionThe 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.
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Book DetailsISBN: 9780198571025
(242mm x 162mm x 27mm)
Imprint: Clarendon Press
Publisher: Oxford University Press
Publish Date: 15-Jun-2006
Country of Publication: United Kingdom
Books By Author Haruzo Hida
Geometric Modular Forms and Elliptic Curves, Hardback (December 2011)
Provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms. This book includes the construction of Galois representations, which play a fundamental role in Wiles' proof of the Shimura - Taniyama conjecture.
Modular Forms and Galois Cohomology, Paperback (August 2008)
Comprehensive account of recent developments in arithmetic theory of modular forms, for graduates and researchers.
Elementary Theory of L-functions and Eisenstein Series, Hardback (February 1993)» View all books by Haruzo Hida
An elementary but detailed insight into the theory of L-functions. The presentation is self contained and concise.
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