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Elliptic Curves (Graduate Texts in Mathematics Book 111) by Dale Husemöller is a nonfiction available to read on EtoBox.

What is Elliptic Curves (Graduate Texts in Mathematics Book 111) about?

Anyone who has studied elliptic curves appreciates their beauty and the richness of the mathematics that arises from such a study. This book, first published in 1987, has three additional chapters that reflect some major applications of elliptic curves since then. Indeed, the resolution of Fermat's Last Theorem due to Andrew Wiles and the use of a generalization of elliptic curves, called Calabi-Yau manifolds, in string theory have all taken place since the time of publication. The review here will be confined to these chapters. Chapter 18 is a brief summary of the modular elliptic curves conjecture and Fermat's Last Theorem from mostly an historical perspective. The author reviews the material from prior chapters that relate to the modular curve conjecture. The Tate module of an elliptic curve plays a central role, with its structure as an l-adic Galois module allowing the author to formulate an alternative version of the modular curve conjecture. The author shows that the modular elliptic curve conjecture is equivalent to the assertion that every l-adic representation arising from a Tate module of an elliptic curve over the rational numbers Q comes from a modular form of weight

Who reads Elliptic Curves (Graduate Texts in Mathematics Book 111)?

Author

Dale Husemöller

Publisher

Springer London, Limited

Published

2004

Language

EN

ISBN

9781280189777

Category

nonfiction

Subjects

Mathematics, Sports, Literary Fiction