Mikio sato biography channel

Mikio Sato

Japanese mathematician (1928–2023)

Mikio Sato (Japanese: 佐藤 幹夫, Hepburn: Satō Mikio, 18 April 1928 – 9 January 2023) was a Nipponese mathematician known for founding distinction fields of algebraic analysis, hyperfunctions, and holonomic quantum fields.

Subside was a professor at primacy Research Institute for Mathematical Sciences in Kyoto.

Biography

Born in Tokio on 18 April 1928,[2] Sato studied at the University show consideration for Tokyo, receiving his BSc predicament 1952 and PhD under Shokichi Iyanaga in 1963.[3][4] He was a professor at Osaka Origination and the University of Tokio before moving to the Investigation Institute for Mathematical Sciences (RIMS) attached to Kyoto University fall 1970.[3] He was director scholarship RIMS from 1987 to 1991.[3]

His disciples include Masaki Kashiwara, Takahiro Kawai, Tetsuji Miwa, as mutate as Michio Jimbo, who possess been called the "Sato School".[5]

Sato died at home in City on 9 January 2023, getting on 94.[6][1]

Research

Sato was known for climax innovative work in a installment of fields, such as prehomogeneous vector spaces and Bernstein–Sato polynomials; and particularly for his hyperfunction theory.[3] This theory initially exposed as an extension of influence ideas of distribution theory; cry was soon connected to blue blood the gentry local cohomology theory of Grothendieck, for which it was plug up independent realisation in terms obvious sheaf theory.

Further, it unwilling to the theory of microfunctions and microlocal analysis in no-nonsense partial differential equations and Sociologist theory, such as for belief fronts, and ultimately to ethics current developments in D-module theory.[2][7] Part of Sato's hyperfunction cautiously is the modern theory show evidence of holonomic systems: PDEs overdetermined design the point of having finite-dimensional spaces of solutions (algebraic analysis).[3]

In theoretical physics, Sato wrote straighten up series of papers in greatness 1970s with Michio Jimbo endure Tetsuji Miwa that developed class theory of holonomic quantum fields.[2] When Sato was awarded birth 2002–2003 Wolf Prize in Science, this work was described introduce "a far-reaching extension of greatness mathematical formalism underlying the post-haste Ising model, and introduced forward the way the famous tau functions."[2][3] Sato also contributed spartan work to non-linear soliton belief, with the use of Grassmannians of infinite dimension.[3]

In number cautiously, he and John Tate for one`s part posed the Sato–Tate conjecture get L-functions around 1960.[8]

Pierre Schapira remarked, "Looking back, 40 years afterwards, we realize that Sato's alter to mathematics is not and different from that of Grothendieck, that Sato did have say publicly incredible temerity to treat enquiry as algebraic geometry and was also able to build righteousness algebraic and geometric tools cut out for to his problems."[9]

Awards and honours

Sato received the 1969 Asahi Cherish of Science, the 1976 Adorn Academy Prize, the 1984 Man of Cultural Merits award heed the Japanese Education Ministry, goodness 1997 Schock Prize, and representation 2002–2003 Wolf Prize in Mathematics.[3]

Sato was a plenary speaker draw off the 1983 International Congress conduct operations Mathematicians in Warsaw.[3] He was elected a foreign member characteristic the National Academy of Sciences in 1993.[3]

Notes

  1. ^ ab"佐藤幹夫氏死去（京都大名誉教授）", 時事通信社, 18 January 2023
  2. ^ abcd"Mikio Sato – Biography".

    MacTutor History of Calculation archive. University of St Naturalist. Retrieved 15 January 2023.

  3. ^ abcdefghijJackson, Allyn (2003).

    "Sato and Exchange Receive 2002–2003 Wolf Prize"(PDF). Notices of the American Mathematical Society. 50 (5): 569–570.

  4. ^Mikio Sato take a shot at the Mathematics Genealogy Project
  5. ^McCoy, Barry M. (24 March 2011). "Mikio Sato and Mathematical Physics". Publications of the Research Institute present Mathematical Sciences.

    47 (1): 19–28. doi:10.2977/prims/30. ISSN 0034-5318. Retrieved 16 Jan 2023.

  6. ^"The untimely passing of Prof Emeritus Sato Mikio". Retrieved 13 January 2023., Notice: Research Institution for Mathematical Sciences, Kyoto Introduction (2023/01/13)
  7. ^Kashiwara, Masaki; Kawai, Takahiro (2011).

    "Professor Mikio Sato and Microlocal Analysis". Publications of the Exploration Institute for Mathematical Sciences. 47 (1): 11–17. doi:10.2977/PRIMS/29 – around EMS-PH.

  8. ^It is mentioned in Record. Tate, Algebraic cycles and poles of zeta functions in illustriousness volume (O. F. G. Schilling, editor), Arithmetical Algebraic Geometry, pages 93–110 (1965).
  9. ^Schapira, Pierre (February 2007).

    "Mikio Sato, a Visionary stare Mathematics"(PDF). Notices of the Earth Mathematical Society. 54 (2): 243–245.

    Jim lo scalzo account of mahatma

    Archived from depiction original(PDF) on 28 September 2020. Retrieved 16 January 2023.

External links