Modular Forms and Galois Cohomology
Seiten
2000
Cambridge University Press (Verlag)
978-0-521-77036-1 (ISBN)
Cambridge University Press (Verlag)
978-0-521-77036-1 (ISBN)
This book provides a comprehensive account of the key theory on which the Taylor–Wiles proof of Fermat's last theorem is based, presenting an overview of the theory of automorphic forms on linear algebraic groups. The book will appeal to graduate students and researchers in number theory and arithmetic algebraic geometry.
This book provides a comprehensive account of a key (and perhaps the most important) theory upon which the Taylor–Wiles proof of Fermat's last theorem is based. The book begins with an overview of the theory of automorphic forms on linear algebraic groups and then covers the basic theory and results on elliptic modular forms, including a substantial simplification of the Taylor–Wiles proof by Fujiwara and Diamond. It contains a detailed exposition of the representation theory of profinite groups (including deformation theory), as well as the Euler characteristic formulas of Galois cohomology groups. The final chapter presents a proof of a non-abelian class number formula and includes several new results from the author. The book will be of interest to graduate students and researchers in number theory (including algebraic and analytic number theorists) and arithmetic algebraic geometry.
This book provides a comprehensive account of a key (and perhaps the most important) theory upon which the Taylor–Wiles proof of Fermat's last theorem is based. The book begins with an overview of the theory of automorphic forms on linear algebraic groups and then covers the basic theory and results on elliptic modular forms, including a substantial simplification of the Taylor–Wiles proof by Fujiwara and Diamond. It contains a detailed exposition of the representation theory of profinite groups (including deformation theory), as well as the Euler characteristic formulas of Galois cohomology groups. The final chapter presents a proof of a non-abelian class number formula and includes several new results from the author. The book will be of interest to graduate students and researchers in number theory (including algebraic and analytic number theorists) and arithmetic algebraic geometry.
Preface; 1. Overview of modular forms; 2. Representations of a group; 3. Representations and modular forms; 4. Galois cohomology; 5. Modular L-values and Selmer groups; Bibliography; Subject index; List of statements; List of symbols.
| Erscheint lt. Verlag | 29.6.2000 |
|---|---|
| Reihe/Serie | Cambridge Studies in Advanced Mathematics |
| Zusatzinfo | 2 Tables, unspecified |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 158 x 236 mm |
| Gewicht | 678 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
| ISBN-10 | 0-521-77036-X / 052177036X |
| ISBN-13 | 978-0-521-77036-1 / 9780521770361 |
| 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
