info@woodslane.com.au
Contact us on (02) 8445 2300
For all customer service and order enquiries

WOODSLANE

Popular Subjects

Woodslane Online Catalogues

9781470456733 Academic Inspection Copy

Iwasawa Theory and Its Perspective, Volume 2

Description
Author
Biography
Table of
Contents
Google
Preview
Iwasawa theory began in the late 1950s with a series of papers by Kenkichi Iwasawa on ideal class groups in the cyclotomic tower of number fields and their relation to $p$-adic $L$-functions. The theory was later generalized by putting it in the context of elliptic curves and modular forms. The main motivation for writing this book was the need for a total perspective of Iwasawa theory that includes the new trends of generalized Iwasawa theory. Another motivation is to update the classical theory for class groups, taking into account the changed point of view on Iwasawa theory. The goal of this second part of the three-part publication is to explain various aspects of the cyclotomic Iwasawa theory of $p$-adic Galois representations.
Tadashi Ochiai, Tokyo Institute of Technology, Japan.
Introduction to cyclotomic Iwasawa theory of elliptic curves Framework of cyclotomic Iwasawa theory for $p$-adic Galois representations Known results on cyclotomic Iwasawa theory for $p$-adic representations Appendix A
Google Preview content