Mikio Sato

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search
Mikio Sato
Born (1928-04-18) April 18, 1928 (age 90)
Tokyo, Japan
Nationality Japan
Alma mater University of Tokyo (B.Sc., 1952) (Ph.D., 1963)
Known for Bernstein–Sato polynomials
Sato-Tate conjecture
Awards Rolf Schock Prize in Mathematics (1997)
Wolf Prize in Mathematics (2003)
Scientific career
Fields Mathematics
Institutions Kyoto University
Doctoral advisor Shokichi Iyanaga
Doctoral students Masaki Kashiwara
Takahiro Kawai

Mikio Sato (佐藤 幹夫, Satō Mikio, born April 18, 1928) is a Japanese mathematician, who started the field of algebraic analysis. He studied at the University of Tokyo and then did graduate study in physics as a student of Shin'ichiro Tomonaga. Since 1970, Sato has been professor at the Research Institute for Mathematical Sciences, of Kyoto University.

He is known for his innovative work in a number of fields, such as prehomogeneous vector spaces and Bernstein–Sato polynomials; and particularly for his hyperfunction theory. This theory initially appeared as an extension of the ideas of distribution theory; it was soon connected to the local cohomology theory of Grothendieck, for which it was an independent realization in terms of sheaf theory. Further, it led to the theory of microfunctions and microlocal analysis in linear partial differential equations and Fourier theory, such as for wave fronts, and ultimately to the current developments in D-module theory. Part of Sato's hyperfunction theory is the modern theory of holonomic systems: PDEs overdetermined to the point of having finite-dimensional spaces of solutions (algebraic analysis).

He also contributed basic work to non-linear soliton theory, with the use of Grassmannians of infinite dimension. In number theory, he is known for the Sato–Tate conjecture on L-functions.

He has been a member of the National Academy of Sciences since 1993. He also received the Schock Prize in 1997 and the Wolf Prize in 2003.

His disciples include Masaki Kashiwara, Takahiro Kawai[1], Tetsuji Miwa[2], and Michio Jimbo, who have been called the "Sato School"[3] .

Notes

  1. ^ Takahiro Kawai https://de.wikipedia.org/wiki/Takahiro_Kawai
  2. ^ Tetsuji Miwa https://de.wikipedia.org/wiki/Tetsuji_Miwa
  3. ^ Mikio Sato and Mathematical Physics, Barry M. McCoy PRIMS Volume 47, Issue 1, 2011 http://www.ems-ph.org/journals/show_abstract.php?issn=0034-5318&vol=47&iss=1&rank=3&srch=searchterm%7CMikio+Sato

External links

Retrieved from "https://en.wikipedia.org/w/index.php?title=Mikio_Sato&oldid=847400081"
This content was retrieved from Wikipedia : http://en.wikipedia.org/wiki/Mikio_Sato
This page is based on the copyrighted Wikipedia article "Mikio Sato"; it is used under the Creative Commons Attribution-ShareAlike 3.0 Unported License (CC-BY-SA). You may redistribute it, verbatim or modified, providing that you comply with the terms of the CC-BY-SA