Non-abelian Fundamental Groups and Iwasawa Theory.

Displays the intricate interplay between different foundations of non-commutative number theory.

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Bibliographic Details
Online Access:	Full Text (via ProQuest)
Main Author:	Coates, John
Other Authors:	Kim, Minhyong, Pop, Florian, Saïdi, Mohamed, Schneider, Peter
Format:	eBook
Language:	English
Published:	Cambridge : Cambridge University Press, 2011.
Series:	London Mathematical Society lecture note series.
Subjects:	Iwasawa theory. Non-Abelian groups.

Table of Contents:

Cover; LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES; Title; Copyright; Contents; Contributors; Preface; Lectures on anabelian phenomena in geometry and arithmetic; Part I. Introduction and motivation; A. First examples; B. Galois characterization of global fields; Part II. Grothendieck's anabelian geometry; A. Warm-up: birational anabelian conjectures; B. Anabelian conjectures for curves; C. The section conjectures; Part III. Beyond the arithmetical action; A. Small Galois groups and valuations; B. Variation of fundamental groups in families of curves.

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