Iwasawa Theory and Its Perspective, Volume 2

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Iwasawa Theory and Its Perspective, Volume 2 is written by Tadashi Ochiai and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 1470456737 (ISBN 10) and 9781470456733 (ISBN 13).

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.