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£130 today · all-time low £127 (Sep 2026) · usually £129

Springer Noncommutative Iwasawa Main Conjectures - Springer Mathematics

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Description

This Springer proceedings volume presents cutting-edge research on noncommutative Iwasawa theory and the main conjectures over totally real fields, featuring work from the Munster conference in April 2011. The book explores algebraic techniques developed by Kakde that drive progress in studying congruences between automorphic forms and noncommutative Iwasawa theory for various motives. A decade of dramatic developments in the field culminated in the recent proof of the noncommutative main conjecture for the Tate motive over totally real p-adic Lie extensions of number fields, independently established by both Ritter and Weiss and by Kakde. This volume, part of the Springer Proceedings in Mathematics and Statistics series, provides essential contributions to understanding these fundamental advances in algebraic number theory and offers precise formulations of noncommutative Iwasawa theory that will inform future research directions.

Key Features

Part of Springer Proceedings in Mathematics and Statistics series, volume 29, bringing together leading research on noncommutative Iwasawa theory.

Covers the proof of the noncommutative main conjecture for the Tate motive over totally real p-adic Lie extensions of number fields.

Features algebraic techniques by Kakde that enable progress in studying congruences between automorphic forms and Iwasawa main conjectures.

Presents contributions from the April 2011 Munster conference, capturing current developments in noncommutative Iwasawa theory research.

Product Specifications

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

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