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Iwasawa Theory and Its Perspective, Volume 3

Tadashi Ochiai

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English
American Mathematical Society
24 July 2025
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 third part of the three-part publication is to present additional aspects of the cyclotomic Iwasawa theory of $p$-adic Galois representations.
By:  
Imprint:   American Mathematical Society
Country of Publication:   United States
Dimensions:   Height: 254mm,  Width: 178mm, 
ISBN:   9781470477325
ISBN 10:   1470477327
Series:   Mathematical Surveys and Monographs
Pages:   110
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
Framework on Iwasawa theory for $p$-adic Galois deformations Known results on Iwasawa theory for $p$-adic deformations Appendix A References Index

Tadashi Ochiai, Institute of Science Tokyo, Japan

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