Non-Abelian Fundamental Groups and Iwasawa Theory

Klappentext Displays the intricate interplay between different foundations of non-commutative number theory. Zusammenfassung This book describes the interaction between several key aspects of Galois theory based on Iwasawa theory! fundamental groups and automorphic forms. These ideas encompass a large portion of mainstream number theory and ramifications that are of interest to graduate students and researchers in number theory! algebraic geometry! topology and physics. Inhaltsverzeichnis List of contributors; Preface; 1. Lectures on anabelian phenomena in geometry and arithmetic Florian Pop; 2. On Galois rigidity of fundamental groups of algebraic curves Hiroaki Nakamura; 3. Around the Grothendieck anabelian section conjecture Mohamed Saïdi; 4. From the classical to the noncommutative Iwasawa theory (for totally real number fields) Mahesh Kakde; 5. On the ¿H(G)-conjecture J. Coates and R. Sujatha; 6. Galois theory and Diophantine geometry Minhyong Kim; 7. Potential modularity - a survey Kevin Buzzard; 8. Remarks on some locally Qp-analytic representations of GL2(F) in the crystalline case Christophe Breuil; 9. Completed cohomology - a survey Frank Calegari and Matthew Emerton; 10. Tensor and homotopy criteria for functional equations of l-adic and classical iterated integrals Hiroaki Nakamura and Zdzis¿aw Wojtkowiak.

Product details

• Authors: J. Coates, John (University of Cambridge) Kim Coates, John Kim Coates, Professor John Kim Coates
• Assisted by: John Coates (Editor), John (University of Cambridge) Coates (Editor), Minhyong Kim (Editor), Minhyong (University College London) Kim (Editor), Florian Pop (Editor), Florian (University of Pennsylvania) Pop (Editor), Mohamed (University of Exeter) Saidi (Editor), Peter Schneider (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 15.12.2011
• EAN: 9781107648852
• ISBN: 978-1-107-64885-2
• No. of pages: 320
• Series: London Mathematical Society Lecture Note Series; London Mathematical Society Le; London Mathematical Society Lecture Note Series; London Mathematical Society Le
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous