Overview
Part of the book series: Contributions in Mathematical and Computational Sciences (CMCS, volume 7)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (17 papers)
-
Front Matter
-
Lecture Notes
-
Front Matter
-
-
Research and Survey Articles
-
Front Matter
-
Keywords
About this book
This is the fifth conference in a bi-annual series, following conferences in Besancon, Limoges, Irsee and Toronto. The meeting aims to bring together different strands of research in and closely related to the area of Iwasawa theory. During the week before the conference in a kind of summer school a series of preparatory lectures for young mathematicians was provided as an introduction to Iwasawa theory.
Iwasawa theory is a modern and powerful branch of number theory and can be traced back to the Japanese mathematician Kenkichi Iwasawa, who introduced the systematic study of Z_p-extensions and p-adic L-functions, concentrating on the case of ideal class groups. Later this would be generalized to elliptic curves. Over the last few decades considerable progress has been made in automorphic Iwasawa theory, e.g. the proof of the Main Conjecture for GL(2) by Kato and Skinner & Urban. Techniques such as Hida’s theory of p-adic modular forms and big Galois representations play a crucial part. Also a noncommutative Iwasawa theory of arbitrary p-adic Lie extensions has been developed.
This volume aims to present a snapshot of the state of art of Iwasawa theory as of 2012. In particular it offers an introduction to Iwasawa theory (based on a preparatory course by Chris Wuthrich) and a survey of the proof of Skinner & Urban (based on a lecture course by Xin Wan).
Editors and Affiliations
Bibliographic Information
Book Title: Iwasawa Theory 2012
Book Subtitle: State of the Art and Recent Advances
Editors: Thanasis Bouganis, Otmar Venjakob
Series Title: Contributions in Mathematical and Computational Sciences
DOI: https://doi.org/10.1007/978-3-642-55245-8
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2014
Hardcover ISBN: 978-3-642-55244-1Published: 22 December 2014
Softcover ISBN: 978-3-662-51221-0Published: 23 August 2016
eBook ISBN: 978-3-642-55245-8Published: 08 December 2014
Series ISSN: 2191-303X
Series E-ISSN: 2191-3048
Edition Number: 1
Number of Pages: XII, 483
Topics: Number Theory, Algebraic Geometry, K-Theory, Topological Groups, Lie Groups, Algebra, Functions of a Complex Variable