Wow! eBook
Non-abelian Fundamental Groups and Iwasawa Theory
Author(s): John Coates
- Publisher: Cambridge University Press
- Publication Date: December 15, 2011
- Edition: 1st
- Language: English
- Print length: 322 pages
- ISBN-10: 1107648858
- ISBN-13: 9781107648852
Book Description
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.
Editorial Reviews
Book Description
Displays the intricate interplay between different foundations of non-commutative number theory.
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.
