Hilbert Modular Forms and Iwasawa Theory
Seiten
2006
Oxford University Press (Verlag)
978-0-19-857102-5 (ISBN)
Oxford University Press (Verlag)
978-0-19-857102-5 (ISBN)
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.
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 |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Sieben ausgewählte Themenstellungen
Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
CHF 89,95
unlock your imagination with the narrative of numbers
Buch | Softcover (2024)
Advantage Media Group (Verlag)
CHF 27,90
Seltsame Mathematik - Enigmatische Zahlen - Zahlenzauber
Buch | Softcover (2024)
BoD – Books on Demand (Verlag)
CHF 27,95
