Proceedings of the International Congress of Mathematicians
Madrid, August 22–30, 2006

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pp: 335–357

DOI: 10.4171/022-1/14

Iwasawa theory and generalizations

Kazuya Kato[1]

(1) Department of Mathematics, Kyoto University, Sakyo-ku, 606-8502, KYOTO, JAPAN

This is an introduction to Iwasawa theory and its generalizations. We discuss some main conjectures and related subjects.

Keywords: Iwasawa theory, zeta function