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Modular Forms and Galois Cohomology

BuchGebunden
356 Seiten
Englisch
Cambridge University Presserschienen am04.02.2003
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.mehr
Verfügbare Formate
BuchGebunden
EUR119,80
TaschenbuchKartoniert, Paperback
EUR89,40

Produkt

KlappentextThis 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.
Details
ISBN/GTIN978-0-521-77036-1
ProduktartBuch
EinbandartGebunden
Erscheinungsjahr2003
Erscheinungsdatum04.02.2003
Seiten356 Seiten
SpracheEnglisch
MasseBreite 157 mm, Höhe 235 mm, Dicke 25 mm
Gewicht731 g
Artikel-Nr.13539218

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr

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