Iwasawa Theory and Its Perspective. Volume 2 / Tadashi Ochiai.

Format:

Book

Author/Creator:

Ochiai, Tadashi, 1972- author.

Series:

Mathematical surveys and monographs ; Volume 280.

Mathematical Surveys and Monographs ; Volume 280

Language:

English

Subjects (All):

Number theory--Textbooks.

Number theory.

Physical Description:

1 online resource (228 pages)

Edition:

First edition.

Place of Publication:

Providence : American Mathematical Society, [2024]

Summary:

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.

Notes:

Description based on publisher supplied metadata and other sources.

Description based on print version record.

ISBN:

1-4704-7726-2