Kazuya Kato

Kazuya Katō ( Japanese 加藤 和 也 , Katō Kazuya ; born January 17, 1952 in Wakayama Prefecture ) is a Japanese mathematician who studied arithmetic, algebraic geometry and number theory.

Katō grew up in Wakayama Prefecture and attended the University of Tokyo , where he made his intermediate diploma in 1975 and his diploma in 1977. In 1980 he did his doctorate there with Yasutaka Ihara and became a lecturer in 1982. In 1984 he became assistant professor and in 1990 professor. In 1992 he moved to the Tokyo Institute of Technology , returned in 1997 to the University of Tokyo and in 2001 went to the University of Kyoto .

Katō is considered one of the leading number theorists. He worked, among other things, on higher-dimensional generalizations of the local class field theory (in the 1980s partly with Shūji Saitō ), p-adic Hodge theory , special values ​​of L-functions ( Bloch-Kato conjectures ) and the Iwasawa theory .

In 1988 he received the Spring Prize of the Japanese Mathematical Society , in 1995 the Inoue Prize and in 2005 the Gakushiin Prize. In 2006 he gave a plenary lecture at the International Congress of Mathematicians in Madrid (Iwasawa Theory and Generalizations), in 1990 he was invited speaker at the ICM in Kyoto ( Generalized class field theory ) and in 2002 in Beijing (Tamagawa number conjecture for zeta values). In 2011 he was elected to the American Academy of Arts and Sciences .

His PhD students include Takeshi Saitō and Masato Kurihara.

Fonts

• Kazuya Kato, Nobushige Kurokawa, Saito Takeshi: Number Theory 1: Fermat's Dream. American Mathematical Society, Providence 1993, ISBN 0-8218-0863-X .
• with S. Saito: Global class field theory of arithmetic schemes , Contemporary Mathematics, Volume 55, Part 1, 1986, pp. 255–331

literature

• S. Bloch, I. Fesenko, L. Illusie, M. Kurihara, S. Saito, T. Saito, P. Schneider (eds.), Extra Volume of Documenta Mathematica: Kazuya Kato's Fiftieth Birthday (2003) (PDF; 82 kB ) Documenta Mathematica. Retrieved November 21, 2011.