Non-abelian Fundamental Groups and Iwasawa Theory
Dec 2011 · London Mathematical Society Lecture Note Series Book 393 · Cambridge University Press
Ebook
310
Pages
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About this ebook
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.
About the author
John Coates is Sadleirian Professor of Pure Mathematics at the University of Cambridge.
Minhyong Kim is Professor of Pure Mathematics in the Department of Mathematics at University College London.
Florian Pop is a Professor of Mathematics at the University of Pennsylvania.
Mohamed Saidi is an Associate Professor in the College of Engineering, Mathematics and Physical Sciences at the University of Exeter.
Peter Schneider is a Professor in the Mathematical Institute at the University of Münster.
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