Geometric modular forms and elliptic curves
Author(s)
Bibliographic Information
Geometric modular forms and elliptic curves
World Scientific, 2000
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Note
Includes bibliographical references (p. 347-353) and index
Description and Table of Contents
Description
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.
Table of Contents
- An algebro-geometric tool box
- elliptic curves
- geometric modular forms
- Jacobians and Galois representations
- modularity problems.
by "Nielsen BookData"
