Geometric Modular Forms and Elliptic Curves

Geometric Modular Forms and Elliptic Curves

English | February 15, 2001 | ISBN: 9810243375 | Pages: 350 | PDF | 36.8 MB

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 results in that directions.

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