Modular Forms and Fermat’s Last Theorem - Hardcover

Hardcover

ISBN 10: 0387946098 ISBN 13: 9780387946092

Verlag: Springer, 1998

Inhaltsangabe

This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions and curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of the proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serres conjectures, Galois deformations, universal deformation rings, Hecke algebras, and complete intersections. The book concludes by looking both forward and backward, reflecting on the history of the problem, while placing Wiles'theorem into a more general Diophantine context suggesting future applications. Students and professional mathematicians alike will find this an indispensable resource.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1998
• Sprache: Englisch
• ISBN 10: 0387946098
• ISBN 13: 9780387946092
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 582
• Herausgeber: Cornell Gary, Silverman Joseph H., Stevens Glenn
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Deutschland