Noncommutative Iwasawa Main Conjectures over Totally Real Fields Münster, April 2011

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...

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Bibliographic Details
Other Authors: Coates, John (Editor), Schneider, Peter (Editor), Sujatha, R. (Editor), Venjakob, Otmar (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2013, 2013
Edition:1st ed. 2013
Series:Springer Proceedings in Mathematics & Statistics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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