Modular Forms and Fermat's Last Theorem

Sprache: Englisch

Verlag: Springer-Verlag New York Inc., 2000

0387946098 / 9780387946092

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This volume contains expanded versions of lectures given at an instructional conference on number theory and arithmetic geometry held August 9 through 18, 1995 at Boston University. Contributor's includeThe purpose of the conference, and of this book, is to introduce and explain the many ideas and techniques used by Wiles in his proof that every (semi-stable) elliptic curve over Q is modular, and to explain how Wiles' result can be combined with Ribet's theorem and ideas of Frey and Serre to show, at long last, that Fermat's Last Theorem is true. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions, modular curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of Wiles' proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serre's conjectures, Galois deformations, universal deformation rings, Hecke algebras, complete intersections and more, as the reader is led step-by-step through Wiles' proof. In recognition of the historical significance of Fermat's Last Theorem, the volume concludes by looking both forward and backward in time, 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 volume to be an indispensable resource for mastering the epoch-making proof of Fermat's Last Theorem.…

Bestandsnummer des Verkäufers CIN0387946098G

Titel
Modular Forms and Fermat's Last Theorem
Autor
Gary Cornell
Verlag
Springer-Verlag New York Inc.
Erscheinungsjahr
2000
Zustand
Good
Einband
Hardback
Sprache
Englisch
ISBN-10
0387946098
ISBN-13
9780387946092

World of Books Inc

Montgomery, IL, USA

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Verkäufer:in bei AbeBooks seit 23. März 2026

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