Amazon cover image
Image from Amazon.com
Image from Google Jackets

Geometric modular forms and elliptic curves

By: Material type: TextTextLanguage: English Publication details: Singapore World Scientific 2000Description: x, 361pISBN:
  • 9810243375 (eng)
Subject(s):
Contents:
Ch. 1. An Algebro-Geometric Tool Box Ch. 2. Elliptic Curves Ch. 3. Geometric Modular Forms Ch. 4. Jacobians and Galois Representations Ch. 5. Modularity Problems.
Summary: 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 modular 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.
Item type: BOOKS
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
Holdings
Home library Call number Materials specified Status Date due Barcode
IMSc Library 512.72 HID (Browse shelf(Opens below)) Available 44830

Includes index

Includes bibliography (p. 347-354) and references

Ch. 1. An Algebro-Geometric Tool Box Ch. 2. Elliptic Curves Ch. 3. Geometric Modular Forms Ch. 4. Jacobians and Galois Representations Ch. 5. Modularity Problems.

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 modular 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.

There are no comments on this title.

to post a comment.
The Institute of Mathematical Sciences, Chennai, India