Geometric Modular Forms And Elliptic Curves

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A01=Haruzo Hida
Author_Haruzo Hida
Category=PBF
Category=PBH
Category=PBMW
Control Theorems
Deformation Rings
Elliptic Curve
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Hecke Algebras
Modular Curve
Modular Forms
Modular Galois Representations
Moduli Spaces of Elliptic Curves
Shimura-Taniyama-Weil Conjecture

Product details

  • ISBN 9789810243371
  • Publication Date: 29 Sep 2000
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms. The construction of Galois representations, which play a fundamental role in Wiles' proof of the Shimura-Taniyama conjecture, is given. In addition, the book presents an outline of the proof of diverse modularity results of two-dimensional Galois representations (including that of Wiles), as well as some of the author's new results in that direction.

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