Hilbert Modular Forms and Iwasawa Theory

Hilbert Modular Forms and Iwasawa Theory book cover

Hilbert Modular Forms and Iwasawa Theory

Author(s): Haruzo Hida (Author)

  • Publisher: OUP Oxford
  • Publication Date: 15 Jun. 2006
  • Edition: Illustrated
  • Language: English
  • Print length: 420 pages
  • ISBN-10: 9783764367206
  • ISBN-13: 9783764367206

Book Description

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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