Collected Papers

Kenkichi Iwasawa (Autor)

Genjiro Fujisaki, Kato Kazuya, Masato Kurihara (Herausgeber)

Buch | Softcover

872 Seiten

2015
Springer Verlag, Japan
978-4-431-55055-6 (ISBN)

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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 Zp-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 In addition, the volume contains 5 papers unpublished until 2001.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).

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 Iwasawa's 5 Unpublished Papers.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.

Erscheint lt. Verlag	20.5.2015
Reihe/Serie	Springer Collected Works in Mathematics
Mitarbeit	Chef-Herausgeber: Ichiro Satake
Zusatzinfo	3 Illustrations, black and white; XXV, 872 p. 3 illus. With Reprint 2014 from the 2001 edition.
Verlagsort	Tokyo
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Felmat Conjecture • Iwasawa theory • Number Theory • Shimura-Taniyama Conjecture
ISBN-10	4-431-55055-0 / 4431550550
ISBN-13	978-4-431-55055-6 / 9784431550556
Zustand	Neuware