Non-abelian fundamental groups in Iwasawa theory / edited by John Coates [and others].

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Number theory currently has at least three different perspectives on non-abelian phenomena: the Langlands programme, non-commutative Iwasawa theory and anabelian geometry. In the second half of 2009, experts from each of these three areas gathered at the Isaac Newton Institute in Cambridge to explai...

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Bibliographic Details
Uniform Title:London Mathematical Society lecture note series ; 393.
Other Authors: Coates, J. (John) (Editor)
Language:English
Published: Cambridge : Cambridge University Press, 2011.
Series:London Mathematical Society lecture note series ; 393.
Subjects:
Iwasawa theory.
Non-Abelian groups.
Online Access:
Connect to online resource - MSU authorized users (Digital Object Identifier Permalink)
Physical Description:1 online resource (ix, 310 pages) : digital, PDF file(s).
Variant Title:
Non-abelian Fundamental Groups & Iwasawa Theory.
Format: Electronic eBook
Contents:
  • Lectures on anabelian phenomena in geometry and arithmetic / Florian Pop
  • On Galois rigidity of fundamental groups of algebraic curves Hiroaki Nakamura
  • Around the Grothendieck anabelian section conjecture Mohamed Saïdi
  • From the classical to the noncommutative Iwasawa theory (for totally real number fields) Mahesh Kakde
  • On the MH(G)-conjecture J. Coates and R. Sujatha
  • Galois theory and Diophantine geometry Minhyong Kim; 7. Potential modularity
  • a survey Kevin Buzzard; 8. Remarks on some locally Qp-analytic representations of GL
  • (F) in the crystalline case Christophe Breuil
  • Completed cohomology
  • a survey Frank Calegari and Matthew Emerton
  • Tensor and homotopy criteria for functional equations of
  • adic and classical iterated integrals Hiroaki Nakamura and Zdzisław Wojtkowiak.