Elliptic Curves and Big Galois Representations (London Mathematical Society Lecture Note Series, Series Number 356) - Image 1

£45.33

Cambridge University Press Elliptic Curves and Big Galois Representations (London Mathematical Society Lecture Note Series, Series Number 356)

Name: Elliptic Curves and Big Galois Representations (London Mathematical Society Lecture Note Series, Series Number 356)
Brand: Cambridge University Press
Price: 51.62 GBP
Availability: InStock

Algebra

Price History & Forecast

Last 26 days • 26 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 26 days • 4 price levels

Days at Price

Current Price

Price Analysis

Most common price: £46 (16 days, 61.5%)

Price range: £44 - £52

Price levels: 4 different prices over 26 days

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.

Product Specifications

Brand: Cambridge University Press
Format: paperback
ASIN: 0521728665
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 31 July 2008
Listed Since: 28 January 2008

Barcode

No barcode data available

Cambridge University Press Elliptic Curves and Big Galois Representations (London Mathematical Society Lecture Note Series, Series Number 356)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Elliptic Curves: Function Theory, Geometry, Arithmetic

Introduction to Elliptic Curves and Modular Forms: 97 (Graduate Texts in Mathematics, 97)

Elliptic Curves (second Edition)

The Arithmetic of Elliptic Curves: 106 (Graduate Texts in Mathematics, 106)

GEOMETRIC MODULAR FORMS AND ELLIPTIC CURVES (2ND EDITION)

Elliptic Curves: A Computational Approach (De Gruyter Studies in Mathematics): 31

Introduction to Elliptic Curves and Modular Forms: 97 (Graduate Texts in Mathematics, 97)

Rational Points on Elliptic Curves (Undergraduate Texts in Mathematics)

Lectures on Siegel Modular Forms: 20 (Cambridge Studies in Advanced Mathematics, Series Number 20)

Cohomology of Drinfeld Modular Varieties, Part 2, Automorphic Forms, Trace Formulas and Langlands Correspondence: 56 (Cambridge Studies in Advanced Mathematics, Series Number 56)

Modular Forms and Galois Cohomology: 69 (Cambridge Studies in Advanced Mathematics, Series Number 69)

A First Course in Modular Forms: 228 (Graduate Texts in Mathematics, 228)

Euler Products and Eisenstein Series (CBMS Regional Conference Series) (CBMS Regional Conference Series in Mathematics)

Elementary Modular Iwasawa Theory: 16 (Series On Number Theory And Its Applications)

Advanced Topics in the Arithmetic of Elliptic Curves: 151 (Graduate Texts in Mathematics, 151)

Number Theory: Algebraic Numbers and Functions (Graduate Studies in Mathematics)

Complex Functions: An Algebraic and Geometric Viewpoint

Princeton University Press Elliptic Curves (MN-40) Mathematics

Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications)

The Gross-Zagier Formula on Shimura Curves (Annals of Mathematics Studies): (AMS-184)

Elliptic Functions and Modular Forms (Universitext)

Shimura Varieties: 457 (London Mathematical Society Lecture Note Series, Series Number 457)

Computational Aspects of Modular Forms and Galois Representations: How One Can Compute in Polynomial Time the Value of Ramanujan's Tau at a Prime (AM-176) (Annals of Mathematics Studies)

Modular Forms and Fermat’s Last Theorem