书目名称 | Iwasawa Theory 2012 |
副标题 | State of the Art and |
编辑 | Thanasis Bouganis,Otmar Venjakob |
视频video | |
丛书名称 | Contributions in Mathematical and Computational Sciences |
图书封面 |  |
描述 | .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 par |
出版日期 | Conference proceedings 2014 |
关键词 | Iwasawa theory; Selmer groups; automorphic forms; complex and p-adic L-functions |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-55245-8 |
isbn_softcover | 978-3-662-51221-0 |
isbn_ebook | 978-3-642-55245-8Series ISSN 2191-303X Series E-ISSN 2191-3048 |
issn_series | 2191-303X |
copyright | Springer-Verlag Berlin Heidelberg 2014 |