Elliptic Curves and Big Galois Representations (London Mathematical Society Lecture Note Series) Book + PRICE WATCH * Amazon pricing is not included in price watch

Elliptic Curves and Big Galois Representations (London Mathematical Society Lecture Note Series) Book

The arithmetic of modular forms and elliptic curves is a central topic in modern number theory, and both graduate students and professional number theorists will find much to interest them in this book. The results proved here have particular relevance to the 'ordinary component' of the Birch and Swinnerton-Dyer formula.Read More

from£N/A | RRP: £36.00
* Excludes Voucher Code Discount Also available Used from £N/A
  • Product Description

    The arithmetic properties of modular forms and elliptic curves lie at the heart of modern number theory. This book develops a generalisation of the method of Euler systems to a two-variable deformation ring. The resulting theory is then used to study the arithmetic of elliptic curves, in particular the Birch and Swinnerton-Dyer (BSD) formula. Three main steps are outlined: the first is to parametrise 'big' cohomology groups using (deformations of) modular symbols. Finiteness results for big Selmer groups are then established. Finally, at weight two, the arithmetic invariants of these Selmer groups allow the control of data from the BSD conjecture. As the first book on the subject, the material is introduced from scratch; both graduate students and professional number theorists will find this an ideal introduction. Material at the very forefront of current research is included, and numerical examples encourage the reader to interpret abstract theorems in concrete cases.

  • 0521728665
  • 9780521728669
  • Daniel Delbourgo
  • 31 July 2008
  • Cambridge University Press
  • Paperback (Book)
  • 288
  • 1
As an Amazon Associate we earn from qualifying purchases. If you click through any of the links below and make a purchase we may earn a small commission (at no extra cost to you). Click here to learn more.

Would you like your name to appear with the review?

We will post your book review within a day or so as long as it meets our guidelines and terms and conditions. All reviews submitted become the licensed property of www.find-book.co.uk as written in our terms and conditions. None of your personal details will be passed on to any other third party.

All form fields are required.