Collected Papers

ISBN-13: 9784431550556 / Angielski / Miękka / 2015 / 897 str.

Kenkichi Iwasawa; Genjiro Fujisaki; Kato Kazuya

Opis

Iwasawa is one of the most original and influential mathematicians in the 20th century. This Collected Papers of K. Iwasawa contains all 66 published papers, including 11 papers in Japanese, for which English abstracts (by the editors) are attached. Also included is a masterly summery of Iwasawa theory by J. Coates (Cambridge).

Spis treści

Volume 1: Preface by Editorial Committee. Introduction by Editorial Committee. Iwasawa's work in algebraic number theory (by John Coates, Cambridge University). Iwasawa's Papers Ä1Ü-Ä36Ü which includes 7 Japanese papers with English Abstract. Bibliography.- Volume 2: Iwasawa's Papers Ä37Ü-Ä66Ü which includes 4 Japanese papers with English Abstract. Iwasawa's 5 Unpublished Papers. Bibliography.

Blurb

Kenkichi Iwasawa was one of the most original and influential mathematicians of the twentieth century. He made a number of fundamental contributions in group theory and algebraic number theory. In group theory, he created the theory of (L)-groups (including the structure theorem called "Iwasawa decomposition"), which played an important role in the solution of Hilbert's Fifth Problem. In number theory, he constructed a beautiful theory on Z_p-extensions, now called "Iwasawa theory", realizing the deep analogy between number fields and algebraic function fields. Iwasawa theory has had a strong influence on the recent development of arithmetic algebraic geometry, including the solution of Fermat's Last Theorem. This volume of the collected papers of K. Iwasawa contains all 66 of his published papers, including 11 papers in Japanese, for which English abstracts by the editors are attached. In addition, the volume contains 5 papers unpublished until 2001. Also included is a masterly summary of Iwasawa theory by J. Coates (The University of Cambridge).