[PDF.48qr] Geometric Modular Forms And Elliptic Curves

Geometric Modular Forms And Elliptic Curves

[PDF.fl08] Geometric Modular Forms And Elliptic Curves

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 | #7625017 in Books |  World Scientific Publishing Company |  2001-02-15 | Original language:English | PDF # 1 |  8.88 x.95 x6.30l,1.40 | File type: PDF | 350 pages

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|| |"... this is a welcome addition to the literature in a field difficult to penetrate. This book should obviously be carefully studied by advanced students and by professional mathematicians in arithmetic algebraic geometry or (modern) number theory." --<

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 n...

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