Elliptic Curves and Big Galois Representations

Informationen zum Autor Daniel Delbourgo is Senior Lecturer in the School of Mathematical Sciences at Monash University in Australia. Klappentext Describes the arithmetic of modular forms and elliptic curves; self-contained and ideal for both graduate students and professional number theorists. Zusammenfassung 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. Inhaltsverzeichnis 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.

Dettagli sul prodotto

• Autori: Daniel Delbourgo, Daniel (Monash University Delbourgo
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 31.07.2008
• EAN: 9780521728669
• ISBN: 978-0-521-72866-9
• Pagine: 288
• Serie: London Mathematical Society Le; London Mathematical Society Lecture Note Series; London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Altro