Daniel Delbourgo

Elliptic Curves and Big Galois Representations

• Broschiertes Buch

Produktbeschreibung

Describes the arithmetic of modular forms and elliptic curves; self-contained and ideal for both graduate students and professional number theorists.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 292
• Erscheinungstermin: 31. Juli 2008
• Englisch
• Abmessung: 229mm x 152mm x 16mm
• Gewicht: 427g
• ISBN-13: 9780521728669
• ISBN-10: 0521728665
• Artikelnr.: 25007229

Autorenporträt

Daniel Delbourgo is Senior Lecturer in the School of Mathematical Sciences at Monash University in Australia.

Inhaltsangabe

Introduction
List of notations
1. Background
2. p-adic L-functions and Zeta-elements
3. Cyclotomic deformations of modular symbols
4. A user's guide to Hida theory
5. Crystalline weight deformations
6. Super Zeta-elements
7. Vertical and half-twisted arithmetic
8. Diamond-Euler characteristics: the local case
9. Diamond-Euler characteristics: the global case
10. Two-variable Iwasawa theory of elliptic curves
A. The primitivity of Zeta elements
B. Specialising the universal path vector
C. The weight-variable control theorem
Bibliography.