Masaki Kashiwara
| birth_place = Yūki, Ibaraki, Japan | death_date = | death_place = | nationality = Japanese | fields = Mathematics | workplaces = Kyoto University | alma_mater = University of Tokyo (MSc, 1971)Kyoto University (PhD, 1974) | doctoral_advisor = Mikio Sato | doctoral_students = | known_for = algebraic analysis
microlocal analysis
''D''-modules
crystal bases
Riemann–Hilbert correspondence
Kazhdan–Lusztig conjecture | awards = (1981)
Asahi Prize (1988)
Japan Academy Prize (1988)
Kyoto Prize (2018)
Chern Medal (2018) }} is a Japanese mathematician. He was a student of Mikio Sato at the University of Tokyo. Kashiwara made leading contributions towards algebraic analysis, microlocal analysis, ''D''-module theory, Hodge theory, sheaf theory and representation theory.
Kashiwara and Sato established the foundations of the theory of systems of linear partial differential equations with analytic coefficients, introducing a cohomological approach that follows the spirit of Grothendieck's theory of schemes. Bernstein introduced a similar approach in the polynomial coefficients case. Kashiwara's master thesis states the foundations of ''D''-module theory. His PhD thesis proves the rationality of the roots of b-functions (Bernstein–Sato polynomials), using ''D''-module theory and resolution of singularities. He was a plenary speaker at International Congress of Mathematicians, 1978, Helsinki and an invited speaker, 1990, Kyoto.
He is a member of the French Academy of Sciences and of the Japan Academy. Provided by Wikipedia
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7by Guillemin, Victor, 1937-Other Authors: “...Kashiwara, Masaki, 1947-...”
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Related Subjects
Integral equations
Mathematical analysis
Mathematical physics
Sheaf theory
Algebra
Categories (Mathematics)
Congresses
Microlocal analysis
Algebraic topology
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Combinatorial analysis
D-modules
Differential equations, Linear
Faisceaux, Théorie des
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Mathematische Physik
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Théorie des catégories
Théorie des faisceaux