Noncommutative Iwasawa Main Conjectures over Totally Real Fields M<U+00fc>nster, April 2011 /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Coates, John. (Editor), Schneider, Peter. (Editor), Sujatha, R. (Editor), Venjakob, Otmar. (Editor)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Springer Proceedings in Mathematics & Statistics, 29
• Subjects: Mathematics.; Geometry, algebraic.; K-theory.; Number theory.; Number Theory.; Algebraic Geometry.; K-Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-32199-3

The algebraic techniques developed by Kakde will almost certainly lead eventually to major progress in the study of congruences between automorphic forms and the main conjectures of non-commutative Iwasawa theory for many motives. Non-commutative Iwasawa theory has emerged dramatically over the last...

Table of Contents:

• Preface
• John Coates, Dohyeong Kim: Introduction to the work of M. Kakde on the non-commutative main conjectures for totally real fields
• R. Sujatha: Reductions of the main conjecture
• Ted Chinburg, Georgios Pappas, Martin J. Taylor: The group logarithm past and present
• Peter Schneider, Otmar Venjakob: K_1 of certain Iwasawa algebras, after Kakde
• Mahesh Kakde: Congruences between abelian p-adic zeta functions
• Otmar Venjakob: On the work of Ritter and Weiss in comparison with Kakde's approach
• Malte Witte: Noncommutative Main Conjectures of Geometric Iwasawa Theory.