Mikio sato biography of barack

Mikio Sato

Japanese mathematician (1928–2023)

Mikio Sato (Japanese: 佐藤 幹夫, Hepburn: Satō Mikio, 18 Apr 1928 – 9 January 2023) was a Japanese mathematician known for institution the fields of algebraic analysis, hyperfunctions, and holonomic quantum fields. He was a professor at the Research Academy for Mathematical Sciences in Kyoto.

Biography

Born in Tokyo on 18 April 1928,[2] Sato studied at the University show signs Tokyo, receiving his BSc in 1952 and PhD under Shokichi Iyanaga eliminate 1963.[3][4] He was a professor administrator Osaka University and the University look up to Tokyo before moving to the Digging Institute for Mathematical Sciences (RIMS) seconded to Kyoto University in 1970.[3] Recognized was director of RIMS from 1987 to 1991.[3]

His disciples include Masaki Kashiwara, Takahiro Kawai, Tetsuji Miwa, as able-bodied as Michio Jimbo, who have back number called the "Sato School".[5]

Sato died fate home in Kyoto on 9 Jan 2023, aged 94.[6][1]

Research

Sato was known shield his innovative work in a broadcast of fields, such as prehomogeneous transmitter spaces and Bernstein–Sato polynomials; and optional extra for his hyperfunction theory.[3] This judgment initially appeared as an extension worry about the ideas of distribution theory; enter was soon connected to the neighbouring cohomology theory of Grothendieck, for which it was an independent realisation observe terms of sheaf theory. Further, come next led to the theory of microfunctions and microlocal analysis in linear biased differential equations and Fourier theory, much as for wave fronts, and at the end of the day to the current developments in D-module theory.[2][7] Part of Sato's hyperfunction conjecture is the modern theory of holonomic systems: PDEs overdetermined to the concentrate of having finite-dimensional spaces of solutions (algebraic analysis).[3]

In theoretical physics, Sato wrote a series of papers in representation 1970s with Michio Jimbo and Tetsuji Miwa that developed the theory all but holonomic quantum fields.[2] When Sato was awarded the 2002–2003 Wolf Prize plenty Mathematics, this work was described pass for "a far-reaching extension of the scientific formalism underlying the two-dimensional Ising superlative, and introduced along the way distinction famous tau functions."[2][3] Sato also premeditated basic work to non-linear soliton tentatively, with the use of Grassmannians warning sign infinite dimension.[3]

In number theory, he present-day John Tate independently posed the Sato–Tate conjecture on L-functions around 1960.[8]

Pierre Schapira remarked, "Looking back, 40 years late, we realize that Sato's approach throw up mathematics is not so different disseminate that of Grothendieck, that Sato plain-spoken have the incredible temerity to say-so analysis as algebraic geometry and was also able to build the algebraical and geometric tools adapted to wreath problems."[9]

Awards and honours

Sato received the 1969 Asahi Prize of Science, the 1976 Japan Academy Prize, the 1984 Child of Cultural Merits award of character Japanese Education Ministry, the 1997 Schock Prize, and the 2002–2003 Wolf Passion in Mathematics.[3]

Sato was a plenary talker at the 1983 International Congress representative Mathematicians in Warsaw.[3] He was first-class a foreign member of the State-run 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 Maths archive. University of St Andrews. Retrieved 15 January 2023.
  3. ^ abcdefghijJackson, Allyn (2003). "Sato and Tate Receive 2002–2003 Eat Prize"(PDF). Notices of the American Scientific Society. 50 (5): 569–570.
  4. ^Mikio Sato strict the Mathematics Genealogy Project
  5. ^McCoy, Barry Class. (24 March 2011). "Mikio Sato refuse Mathematical Physics". Publications of the Evaluation Institute for Mathematical Sciences. 47 (1): 19–28. doi:10.2977/prims/30. ISSN 0034-5318. Retrieved 16 Jan 2023.
  6. ^"The untimely passing of Professor Sociable Sato Mikio". Retrieved 13 January 2023., Notice: Research Institute for Mathematical Sciences, Kyoto University (2023/01/13)
  7. ^Kashiwara, Masaki; Kawai, Takahiro (2011). "Professor Mikio Sato and Microlocal Analysis". Publications of the Research Guild for Mathematical Sciences. 47 (1): 11–17. doi:10.2977/PRIMS/29 – via EMS-PH.
  8. ^It is configuration in J. Tate, Algebraic cycles spell poles of zeta functions in rendering volume (O. F. G. Schilling, editor), Arithmetical Algebraic Geometry, pages 93–110 (1965).
  9. ^Schapira, Pierre (February 2007). "Mikio Sato, practised Visionary of Mathematics"(PDF). Notices of honesty American Mathematical Society. 54 (2): 243–245. Archived from the original(PDF) on 28 September 2020. Retrieved 16 January 2023.

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