一小时邀请报告简介之十三：老问题，新猜想

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一小时邀请报告简介之十三：老问题，新猜想
（转自2006年国际数学家大会官方网站）

Plenary Session: Kazuya Kato
Old Problems, New Conjectures

When one looks over one of the most celebrated developments in mathematics in recent years, the proof of Fermat’s Theorem, one often comes across references to the “Iwasawa Theory”, a term unknown to the general public, but not to professor Kazuya Kato. In the lecture he will give at the ICM2006 International Congress of Mathematicians, this Japanese expert will speak about this theory, which among many other contributions helped to resolve one of the most famous problems in the history of mathematics.

In many respects, Iwasawa’s ideas were drawn from breakthroughs in arithmetic algebraic geometry in questions of advanced mathematics. In an attempt to generalize the main conjecture of the Iwasawa Theory to a global situation, Kazuya Kato has defined certain elements known as “Z elements”. These Z elements are closely associated with complex mathematical concepts, one of which is a conjecture named after Kato himself, Bloch-Kato’s Tamagawa number conjecture, a large generalization of the Birch-Swinnerton-Dyer conjecture. This latter conjecture is one of the unsolved Millennium Problems, for which the Clay Institute is offering a prize of one million dollars.

Kazuya Kato was born in Japan in 1952. In 1975 he graduated in mathematics at the University of Tokyo, where in 1980 he obtained his doctorate. He currently teaches at the University of Kyoto. Last year he was awarded the Gakushiin Prize for his work on number theory and his contributions to algebraic geometry.

Speaker: Kazuya Kato
Title: Iwasawa Theory and Generalizations
Date: Monday, August 28, 11:45-12.45
ICM2006 Scientific Programme：http://www.icm2006.org/scientificprogram/plenarylectures/

（转自2006年国际数学家大会官方网站）