Hilbert Modular Forms and Iwasawa Theory (Oxford Mathematical Monographs) - Hardcover

Book 7 of 14: Oxford Mathematical Monographs

Hida, Haruzo

 
9780198571025: Hilbert Modular Forms and Iwasawa Theory (Oxford Mathematical Monographs)

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.

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