Back Teoria d'Iwasawa Catalan Iwasawa-Theorie German Teoría de Iwasawa Spanish Iwasawan teoria Finnish Théorie d'Iwasawa French תורת איווסווה HE Teori Iwasawa ID Teoria di Iwasawa Italian 岩澤理論 Japanese Iwasawa-theorie Dutch
In number theory, Iwasawa theory is the study of objects of arithmetic interest over infinite towers of number fields. It began as a Galois module theory of ideal class groups, initiated by Kenkichi Iwasawa (1959) (岩澤 健吉), as part of the theory of cyclotomic fields. In the early 1970s, Barry Mazur considered generalizations of Iwasawa theory to abelian varieties. More recently (early 1990s), Ralph Greenberg has proposed an Iwasawa theory for motives.