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Springer Noncommutative Iwasawa Main Conjectures - Math Book

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Description

Explore advanced mathematical research with Noncommutative Iwasawa Main Conjectures over Totally Real Fields. This volume, part of the Springer Proceedings in Mathematics and Statistics series, captures the significant developments discussed during the Munster meeting in April 2011. This text examines the dramatic emergence of non-commutative Iwasawa theory over the last decade. It covers the recent proof of the non-commutative main conjecture for the Tate motive over a totally real p-adic Lie extension of a number field, featuring independent work by Ritter and Weiss alongside Kakde. Readers will find detailed discussions on the algebraic techniques developed by Kakde, which provide a foundation for studying congruences between automorphic forms and the main conjectures of non-commutative Iwasawa theory for many motives. This book serves as a vital resource for mathematicians focused on algebra and number theory, providing a precise formulation of complex mathematical concepts.

Key Features

Part of the Springer Proceedings in Mathematics and Statistics series, ensuring high academic standards for research in algebra.

Covers recent breakthroughs in non-commutative Iwasawa theory, including the proof of the main conjecture for the Tate motive.

Includes advanced algebraic techniques developed by Kakde to study congruences between automorphic forms.

Provides detailed mathematical analysis of non-commutative Iwasawa theory over totally real p-adic Lie extensions.

Documents significant academic discussions and findings from the Munster meeting held in April 2011.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
09 November 2014
Listed Since
05 November 2014

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