Nonabelian fundamental groups and Iwasawa theory
 Language
 English.
 Imprint
 Cambridge ; New York : Cambridge University Press, 2012.
 Physical description
 ix, 310 p. : ill. ; 23 cm.
 Series
 London Mathematical Society lecture note series ; 393.
Access
Available online

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QA247 .N56 2011

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QA247 .N56 2011
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Contributors
 Contributor
 Coates, J.
 London Mathematical Society.
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 List of contributors Preface 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 Saidi 4. From the classical to the noncommutative Iwasawa theory (for totally real number fields) Mahesh Kakde 5. On the MUH(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 Qpanalytic 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 ladic and classical iterated integrals Hiroaki Nakamura and Zdzislaw Wojtkowiak.
 (source: Nielsen Book Data)
 Publisher's Summary
 Number theory currently has at least three different perspectives on nonabelian phenomena: the Langlands programme, noncommutative 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 theorybuilding 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 ArtinTakagi theory. Nonabelian 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 asyetundiscovered unified theory of nonabelian arithmetic geometry.
(source: Nielsen Book Data)  Supplemental links
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Bibliographic information
 Publication date
 2012
 Responsibility
 edited by John Coates ... [et al.].
 Series
 London Mathematical Society lecture note series ; 393
 Note
 "The London Mathematical Society."
 ISBN
 9781107648852 (pbk.)
 1107648858 (pbk.)