Skip to content
Register Sign in Wishlist
Non-abelian Fundamental Groups and Iwasawa Theory

Non-abelian Fundamental Groups and Iwasawa Theory


Part of London Mathematical Society Lecture Note Series

Florian Pop, Hiroaki Nakamura, Mohamed Saïdi, Mahesh Kakde, J. Coates, R. Sujatha, Minhyong Kim, Kevin Buzzard, Christophe Breuil, Frank Calegari, Matthew Emerton, Hiroaki Nakamura, Zdzisław Wojtkowiak
View all contributors
  • Date Published: December 2011
  • availability: Available
  • format: Paperback
  • isbn: 9781107648852

$ 80.95

Add to cart Add to wishlist

Other available formats:

Looking for an inspection copy?

This title is not currently available for inspection. However, if you are interested in the title for your course we can consider offering an inspection copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • 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 explain the latest advances in their research and to investigate possible avenues of future investigation and collaboration. For those in attendance, the overwhelming impression was that number theory is going through a tumultuous period of theory-building and experimentation analogous to the late 19th century, when many different special reciprocity laws of abelian class field theory were formulated before knowledge of the Artin–Takagi theory. Non-abelian Fundamental Groups and Iwasawa Theory presents the state of the art in theorems, conjectures and speculations that point the way towards a new synthesis, an as-yet-undiscovered unified theory of non-abelian arithmetic geometry.

    • Surveys the main ideas with the minimum of technical detail
    • Explores relationships between various areas, which will inspire future research
    • Encompasses a large portion of mainstream number theory
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: December 2011
    • format: Paperback
    • isbn: 9781107648852
    • length: 320 pages
    • dimensions: 228 x 152 x 15 mm
    • weight: 0.45kg
    • contains: 5 b/w illus.
    • availability: Available
  • Table of Contents

    List of contributors
    1. Lectures on anabelian phenomena in geometry and arithmetic Florian Pop
    2. On Galois rigidity of fundamental groups of algebraic curves Hiroaki Nakamura
    3. Around the Grothendieck anabelian section conjecture Mohamed Saïdi
    4. From the classical to the noncommutative Iwasawa theory (for totally real number fields) Mahesh Kakde
    5. On the ΜH(G)-conjecture J. Coates and R. Sujatha
    6. Galois theory and Diophantine geometry Minhyong Kim
    7. Potential modularity - a survey Kevin Buzzard
    8. Remarks on some locally Qp-analytic representations of GL2(F) in the crystalline case Christophe Breuil
    9. Completed cohomology - a survey Frank Calegari and Matthew Emerton
    10. Tensor and homotopy criteria for functional equations of l-adic and classical iterated integrals Hiroaki Nakamura and Zdzisław Wojtkowiak.

  • Editors

    John Coates, University of Cambridge
    John Coates is Sadleirian Professor of Pure Mathematics at the University of Cambridge.

    Minhyong Kim, University College London
    Minhyong Kim is Professor of Pure Mathematics in the Department of Mathematics at University College London.

    Florian Pop, University of Pennsylvania
    Florian Pop is a Professor of Mathematics at the University of Pennsylvania.

    Mohamed Saïdi, University of Exeter
    Mohamed Saidi is an Associate Professor in the College of Engineering, Mathematics and Physical Sciences at the University of Exeter.

    Peter Schneider, Universität Münster
    Peter Schneider is a Professor in the Mathematical Institute at the University of Münster.


    Florian Pop, Hiroaki Nakamura, Mohamed Saïdi, Mahesh Kakde, J. Coates, R. Sujatha, Minhyong Kim, Kevin Buzzard, Christophe Breuil, Frank Calegari, Matthew Emerton, Hiroaki Nakamura, Zdzisław Wojtkowiak

Sign In

Please sign in to access your account


Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.