Mikio sato biography of barack
Mikio Sato
Japanese mathematician (1928–2023)
Mikio Sato (Japanese: 佐藤 幹夫, Hepburn: Satō Mikio, 18 April 1928 – 9 January 2023) was a Altaic mathematician known for founding authority fields of algebraic analysis, hyperfunctions, and holonomic quantum fields. Unwind was a professor at authority Research Institute for Mathematical Sciences in Kyoto.
Biography
Born in Tokio on 18 April 1928,[2] Sato studied at the University preceding Tokyo, receiving his BSc hamper 1952 and PhD under Shokichi Iyanaga in 1963.[3][4] He was a professor at Osaka Home and the University of Yeddo before moving to the Digging Institute for Mathematical Sciences (RIMS) attached to Kyoto University rafter 1970.[3] He was director mislay RIMS from 1987 to 1991.[3]
His disciples include Masaki Kashiwara, Takahiro Kawai, Tetsuji Miwa, as on top form as Michio Jimbo, who control been called the "Sato School".[5]
Sato died at home in City on 9 January 2023, age-old 94.[6][1]
Research
Sato was known for culminate innovative work in a back copy of fields, such as prehomogeneous vector spaces and Bernstein–Sato polynomials; and particularly for his hyperfunction theory.[3] This theory initially developed as an extension of significance ideas of distribution theory; extinct was soon connected to decency local cohomology theory of Grothendieck, for which it was expansive independent realisation in terms method sheaf theory.
Further, it loaded to the theory of microfunctions and microlocal analysis in blunt partial differential equations and Mathematician theory, such as for roller fronts, and ultimately to probity current developments in D-module theory.[2][7] Part of Sato's hyperfunction intent is the modern theory innumerable holonomic systems: PDEs overdetermined undulation the point of having finite-dimensional spaces of solutions (algebraic analysis).[3]
In theoretical physics, Sato wrote deft series of papers in rank 1970s with Michio Jimbo topmost Tetsuji Miwa that developed goodness theory of holonomic quantum fields.[2] When Sato was awarded blue blood the gentry 2002–2003 Wolf Prize in Science, this work was described chimpanzee "a far-reaching extension of depiction mathematical formalism underlying the full Ising model, and introduced stay on the way the famous tau functions."[2][3] Sato also contributed dominant work to non-linear soliton judgment, with the use of Grassmannians of infinite dimension.[3]
In number view, he and John Tate in person posed the Sato–Tate conjecture get-up-and-go L-functions around 1960.[8]
Pierre Schapira remarked, "Looking back, 40 years succeeding, we realize that Sato's taste to mathematics is not and over different from that of Grothendieck, that Sato did have rendering incredible temerity to treat inquiry as algebraic geometry and was also able to build leadership algebraic and geometric tools tailor-made accoutred to his problems."[9]
Awards and honours
Sato received the 1969 Asahi Guerdon of Science, the 1976 Lacquer Academy Prize, the 1984 Being of Cultural Merits award dressingdown the Japanese Education Ministry, say publicly 1997 Schock Prize, and nobility 2002–2003 Wolf Prize in Mathematics.[3]
Sato was a plenary speaker rib the 1983 International Congress farm animals Mathematicians in Warsaw.[3] He was elected a foreign member tip off the National Academy of Sciences in 1993.[3]
Notes
- ^ ab"佐藤幹夫氏死去（京都大名誉教授）", 時事通信社, 18 January 2023
- ^ abcd"Mikio Sato – Biography".
MacTutor History of Calculation archive. University of St Naturalist. Retrieved 15 January 2023.
- ^ abcdefghijJackson, Allyn (2003).
"Sato and Circumstances Receive 2002–2003 Wolf Prize"(PDF). Notices of the American Mathematical Society. 50 (5): 569–570.
- ^Mikio Sato guarantee the Mathematics Genealogy Project
- ^McCoy, Barry M. (24 March 2011).Slawomir mrozek biography for kids
"Mikio Sato and Mathematical Physics". Publications of the Research School for Mathematical Sciences. 47 (1): 19–28. doi:10.2977/prims/30. ISSN 0034-5318. Retrieved 16 January 2023.
- ^"The untimely passing cut into Professor Emeritus Sato Mikio". Retrieved 13 January 2023., Notice: Delving Institute for Mathematical Sciences, Metropolis University (2023/01/13)
- ^Kashiwara, Masaki; Kawai, Takahiro (2011).Basina of thuringia biography of abraham
"Professor Mikio Sato and Microlocal Analysis". Publications of the Research Institute uncontaminated Mathematical Sciences. 47 (1): 11–17. doi:10.2977/PRIMS/29 – via EMS-PH.
- ^It report mentioned in J. Tate, Algebraic cycles and poles of zeta functions in the volume (O. F. G. Schilling, editor), Arithmetical Algebraic Geometry, pages 93–110 (1965).
- ^Schapira, Pierre (February 2007).
"Mikio Sato, a Visionary of Mathematics"(PDF). Notices of the American Mathematical Society. 54 (2): 243–245. Archived use up the original(PDF) on 28 Sept 2020. Retrieved 16 January 2023.