Geometric Modular Forms and Elliptic Curves (repost)
Geometric Modular Forms and Elliptic Curves by Haruzo Hida
English | February 15, 2001 | ISBN: 9810243375 | Pages: 350 | PDF | 36.8 MB
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.