Data Portal @ linkeddatafragments.org

Matches in Harvard for { <http://id.lib.harvard.edu/aleph/007739363/catalog> ?p ?o. }

• catalog abstract ""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."--BOOK JACKET.".
• catalog contributor b10701605.
• catalog contributor b10701606.
• catalog contributor b10701607.
• catalog created "c1997.".
• catalog date "1997".
• catalog date "c1997.".
• catalog dateCopyrighted "c1997.".
• catalog description ""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."--BOOK JACKET.".
• catalog description "An overview of the proof of Fermat's Last Theorem / Glenn Stevens -- A survey of the arithmetic theory of elliptic curves / Joseph H. Silverman -- Modular curves, Hecke correspondences, and L-functions / David E. Rohrlich -- Galois cohomology / Lawrence C. Washington -- Finite flat group schemes / John Tate -- Three lectures on the modularity of [rho epsilon],3 and the Langlands reciprocity conjecture / Stephen Gelbart -- Serre's conjecture / Bas Edixhoven -- An introduction to the deformation theory of Galois representations / Barry Mazur -- Explicit construction of universal deformation rings / Bart de Smit, Hendrik W. Lenstra, Jr. -- Hecke algebras and the Gorenstein property / Jacques Tilouine -- Criteria for complete intersections / Bart de Smit, Karl Rubin, René Schoof -- ℓ-adic modular deformations and Wiles's "Main conjecture" / Fred Diamond, Kenneth A. Ribet -- The flat deformation functor / Brian Conrad -- Hecke rings and universal deformation rings / Ehud de Shalit -- Explicit families of elliptic curves with prescribed mod N representations / Alice Silverberg -- Modularity of mod 5 representations / Karl Rubin -- An extension of Wiles' results / Fred Diamond -- Appendix : Classification of [rho epsilon],ℓ by the j-invariant of [epsilon] / Fred Diamond, Kenneth Kramer -- Class field theory and the first case of Fermat's Last Theorem / H.W. Lenstra, Jr., Peter Stevenhagen -- Remarks on the history of Fermat's Last Theorem 1844 to 1984 / Michael Rosen -- On ternary equations of Fermat type and relations with elliptic curves / Gerhard Frey -- Wiles' theorem and the arithmetic of elliptic curves / Henri Darmon.".
• catalog description "Includes bibliographical references and index.".
• catalog extent "xix, 582 p. :".
• catalog identifier "0387946098 (alk. paper)".
• catalog issued "1997".
• catalog issued "c1997.".
• catalog language "eng".
• catalog publisher "New York : Springer,".
• catalog subject "512/.74 21".
• catalog subject "Curves, Elliptic Congresses.".
• catalog subject "Fermat's last theorem Congresses.".
• catalog subject "Forms, Modular Congresses.".
• catalog subject "QA567.2.E44 M63 1997".
• catalog tableOfContents "An overview of the proof of Fermat's Last Theorem / Glenn Stevens -- A survey of the arithmetic theory of elliptic curves / Joseph H. Silverman -- Modular curves, Hecke correspondences, and L-functions / David E. Rohrlich -- Galois cohomology / Lawrence C. Washington -- Finite flat group schemes / John Tate -- Three lectures on the modularity of [rho epsilon],3 and the Langlands reciprocity conjecture / Stephen Gelbart -- Serre's conjecture / Bas Edixhoven -- An introduction to the deformation theory of Galois representations / Barry Mazur -- Explicit construction of universal deformation rings / Bart de Smit, Hendrik W. Lenstra, Jr. -- Hecke algebras and the Gorenstein property / Jacques Tilouine -- Criteria for complete intersections / Bart de Smit, Karl Rubin, René Schoof -- ℓ-adic modular deformations and Wiles's "Main conjecture" / Fred Diamond, Kenneth A. Ribet -- The flat deformation functor / Brian Conrad -- Hecke rings and universal deformation rings / Ehud de Shalit -- Explicit families of elliptic curves with prescribed mod N representations / Alice Silverberg -- Modularity of mod 5 representations / Karl Rubin -- An extension of Wiles' results / Fred Diamond -- Appendix : Classification of [rho epsilon],ℓ by the j-invariant of [epsilon] / Fred Diamond, Kenneth Kramer -- Class field theory and the first case of Fermat's Last Theorem / H.W. Lenstra, Jr., Peter Stevenhagen -- Remarks on the history of Fermat's Last Theorem 1844 to 1984 / Michael Rosen -- On ternary equations of Fermat type and relations with elliptic curves / Gerhard Frey -- Wiles' theorem and the arithmetic of elliptic curves / Henri Darmon.".
• catalog title "Modular forms and Fermat's last theorem / Gary Cornell, Joseph H. Silverman, Glenn Stevens, editors.".
• catalog type "Boston (Mass., 1995) swd".
• catalog type "Conference proceedings. fast".
• catalog type "Modulare Form. swd".
• catalog type "text".