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Modular Forms and Fermat's Last Theorem

By Gary Cornell, Joseph H. Silverman, Glenn Stevens

& 8220;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.

& 8221;

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	Study Invitation to the Mathematics of Fermat-Wiles (Fermat's Last Theorem) Yves Hellegouarch, "Invitation to the Mathematics of Fermat-Wiles"Academic Press \| ISBN 0123392519 \| Year 2001 \| 448 pages \| PDF \| 12 MB compressedBook DescriptionAssuming only modest knowledge of undergraduate level math, Invitation to the ...
	Science/Engineering Modular Forms, a Computational Approach William Stein, "Modular Forms, a Computational Approach" American Mathematical Society \| 2007-02-13 \| ISBN: 0821839608 \| 268 pages \| Djvu \| 2,5 MB This marvellous and highly original book fills a significant gap in the extensive literat ...
	Science/Engineering Modular Forms and Galois Cohomology Haruzo Hida, "Modular Forms and Galois Cohomology" Cambridge University Press \| 2000 \| ISBN: 052177036X \| 343 pages \| Djvu \| 5,1 MB This book provides a comprehensive account of a key, perhaps the most important, theory that forms the b ...
	Science/Engineering Modular Forms on Schiermonnikoog Bas Edixhoven, Gerard van der Geer, Ben Moonen, "Modular Forms on Schiermonnikoog" Cambridge University Press \| ISBN: 0521493544 \| 2008 \| 360 pages \| PDF \| 1,63 MB Product DescriptionThis collection of up-to-date articles originated from ...
	Nonfiction Modular Forms: A Computational Approach This marvellous and highly original book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introductory text to this theory, though it could certainly be used as such in conjunction ...
	Science/Engineering Modular Forms Modular FormsSpringer \| 3540295925 \| 2006 \| PDF \| 335p \| 10MB \| RS \| FFFor the most part, this book is the translation from Japanese of the earlier book written jointly by Koji Doi and the author who revised it substantially for the English ...

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	Study Invitation to the Mathematics of Fermat-Wiles (Fermat's Last Theorem) Yves Hellegouarch, "Invitation to the Mathematics of Fermat-Wiles"Academic Press \| ISBN 0123392519 \| Year 2001 \| 448 pages \| PDF \| 12 MB compressedBook DescriptionAssuming only modest knowledge of undergraduate level math, Invitation to the ...
	Science/Engineering Modular Forms, a Computational Approach William Stein, "Modular Forms, a Computational Approach" American Mathematical Society \| 2007-02-13 \| ISBN: 0821839608 \| 268 pages \| Djvu \| 2,5 MB This marvellous and highly original book fills a significant gap in the extensive literat ...
	Science/Engineering Modular Forms and Galois Cohomology Haruzo Hida, "Modular Forms and Galois Cohomology" Cambridge University Press \| 2000 \| ISBN: 052177036X \| 343 pages \| Djvu \| 5,1 MB This book provides a comprehensive account of a key, perhaps the most important, theory that forms the b ...
	Science/Engineering Modular Forms on Schiermonnikoog Bas Edixhoven, Gerard van der Geer, Ben Moonen, "Modular Forms on Schiermonnikoog" Cambridge University Press \| ISBN: 0521493544 \| 2008 \| 360 pages \| PDF \| 1,63 MB Product DescriptionThis collection of up-to-date articles originated from ...
	Nonfiction Modular Forms: A Computational Approach This marvellous and highly original book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introductory text to this theory, though it could certainly be used as such in conjunction ...
	Science/Engineering Modular Forms Modular FormsSpringer \| 3540295925 \| 2006 \| PDF \| 335p \| 10MB \| RS \| FFFor the most part, this book is the translation from Japanese of the earlier book written jointly by Koji Doi and the author who revised it substantially for the English ...

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