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Non-abelian Fundamental Groups and Iwasawa Theory

ISBN: 9781107648852 | 1107648858
Edition: 1st
Format: Paperback
Publisher: Cambridge Univ Pr
Pub. Date: 1/31/2012

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SummaryTable of Contents
Displays the intricate interplay between different foundations of non-commutative number theory.
This book describes the interaction between several key aspects of Galois theory based on Iwasawa theory, fundamental groups and automorphic forms. These ideas encompass a large portion of mainstream number theory and ramifications that are of interest to graduate students and researchers in number theory, algebraic geometry, topology and physics.
Number theory currently has at least three ... MORE
... MORE
List of contributorsp. vi
Prefacep. vii
Lectures on anabelian phenomena in geometry and arithmeticp. 1
On Galois rigidity of fundamental groups of algebraic curvesp. 56
Around the Grothendieck anabelian section conjecturep. 72
From the classical to the noncommutative Iwasawa theory (for totally real number fields)p. 107
On the MH(G)-conjecturep. 132
Galois theory and Diophantine geometryp. 162
Potential modularity - a surveyp. 188
Remarks on some locally Qp-analytic representations of GL2(F) in the crystalline casep. 212
Completed cohomology - a surveyp. 239
Tensor and homotopy criteria for functional equations of l-adic and classical iterated integralsp. 258
Table of Contents provided by Ingram. All Rights Reserved.


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