Masaki Kashiwara

Masaki Kashiwara (Japanese柏 原 正 树, Masaki Kashiwara, born January 30, 1947 in Yūki in Japan) is a Japanese mathematician.

Life and work

Masaki Kashiwara studied at the University of Tokyo (Bachelor in 1969, master's degree, 1971) with Mikio Sato and received his doctorate in Kyoto with him in 1974. 1977/1978 he worked at the Institute for Advanced Study. He was an assistant at the 1971 RIMS ( Research Institute for Mathematical Sciences at Kyoto University ), 1973 Assistant Professor at RIMS 1978 in the same capacity at the University of Nagoya, and from 1984 professor at RIMS. Since 2001, he was its director.

Kashiwara worked in the micro- local analysis, to hyperfunctions and at the D- module theory, which he developed ideas of his teacher Mikio Sato and lot with French mathematicians (Pierre Schapira ) worked. The subject area is called by her school also " Algebraic Analysis". He also deals with mathematical physics. He proved in 1981 with Jean -Luc Brylinski the Kazhdan - Lusztig conjectures in geometric representation theory.

His theory of D- modules, found independently in Russia by Joseph Bernstein, found application in algebraic geometry ( Perverse Sheaves ), especially after Kashiwara 1976/77 was in Paris. Around the same time as Zoghman Mebkhout (1979 ) he solves the generalized Riemann - Hilbert 1980 issue, where instead of Riemann surfaces higher dimensional complex manifolds are considered (so-called Riemann - Hilbert correspondence).

He is a foreign member of the French Academy of Sciences since 2002. In 1981 he received the Prize of the Japanese Iyanaga Mathematical Society, 1987 Asahi Prize and the Prize of the Japanese Academy of Sciences. In 1978 he gave a plenary lecture at the ICM in Helsinki ( Local Micro Analysis) and 1990, he was invited speaker at the ICM in Kyoto ( Crystallizing the q- analogue of universal enveloping algebras ).

Writings

  • With Pierre Schapira: Sheaves on Manifolds, Grundlehren of Mathematical Sciences, Springer 1990
  • Victor Guillemin, Kawai seminar on micro -local analysis, Princeton 1979
  • With Teresa Fernandes system of micro differential equations, Birkhäuser 1983
  • Introduction to micro local analysis, L' Enseignement Mathematique, Bd.32, 1986
  • With Takahiro Kawai, Tatsuo Kimura Foundations of algebraic analysis, Princeton 1986
  • Publisher with Kawai: Algebraic analysis: papers dedicated to Professor Mikio Sato on the occasion of his sixtieth birthday, 2 volumes, Academic Press 1988
  • Saito, Matsuo, Satake Topological field theory, primitive forms and related topics, Birkhauser 1998
  • With Tetsuji Miwa (Editor) Physical combinatorics, Birkhauser 2000
  • With Miwa (Editor) MathPhys odyssey 2001: integrable models and beyond: in honor of Barry M. McCoy, 2002
  • D -modules and micro local calculus, AMS 2003
  • With Pierre Schapira Categories and sheaves, Springer 2006
  • With Schapira Ind - Sheaves, Paris, astérisque, 2001
  • With Schapira Micro Local study of Sheaves, astérisque 1985
Microlocal analysis Pierre Schapira (mathematician) David Kazhdan Integrated Authority File
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