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Masaki Kashiwara information


Masaki Kashiwara
Kashiwara at ICM Madrid in 2006
Born (1947-01-30) January 30, 1947 (age 77)
Yūki, Ibaraki, Japan
NationalityJapanese
Alma materUniversity of Tokyo (MSc, 1971)
Kyoto University (PhD, 1974)
Known foralgebraic analysis
microlocal analysis
D-modules
crystal bases
Riemann–Hilbert correspondence
Kazhdan–Lusztig conjecture
AwardsIyanaga Prize [ja] (1981)
Asahi Prize (1988)
Japan Academy Prize (1988)
Kyoto Prize (2018)
Chern Medal (2018)
Scientific career
FieldsMathematics
InstitutionsKyoto University
Doctoral advisorMikio Sato

Masaki Kashiwara (柏原 正樹, Kashiwara Masaki, born January 30, 1947 in Yūki, Ibaraki) 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.[1]

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.[1] 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.

  1. ^ a b Pierre Schapira (2008). "Masaki Kashiwara and Algebraic Analysis". arXiv:0810.4875 [math.HO].

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Masaki Kashiwara

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Masaki Kashiwara (柏原 正樹, Kashiwara Masaki, born January 30, 1947 in Yūki, Ibaraki) is a Japanese mathematician. He was a student of Mikio Sato at the...

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Algebraic analysis

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Mikio Sato Masaki Kashiwara Lars Hörmander Kashiwara & Kawai 2011, pp. 11–17. Kashiwara & Schapira 1990, Definition 11.5.1. Kashiwara, Masaki; Kawai, Takahiro...

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Research Institute for Mathematical Sciences

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Mori (1998.4.1 – 2001.3.31) Masaki Kashiwara (2001.4.1 – 2003.3.31) Yōichirō Takahashi (2003.4.1 – 2007.3.31) Masaki Kashiwara (2007.4.1 – 2009.3.31) Shigeru...

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Shinichi Mochizuki

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expositions of the theory. On April 3, 2020, two Japanese mathematicians, Masaki Kashiwara and Akio Tamagawa, announced that Mochizuki's claimed proof of the...

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Mikio Sato

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He was director of RIMS from 1987 to 1991. His disciples include Masaki Kashiwara, Takahiro Kawai, Tetsuji Miwa, as well as Michio Jimbo, who have been...

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Takahiro Kawai

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emeritus at RIMS. He was a student of Mikio Sato at the same time as Masaki Kashiwara with whom he later shared the Asahi Prize in 1987. "Homepage of Takahiro...

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Hall algebra

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algebra. The Hall algebra plays an important role in the theory of Masaki Kashiwara and George Lusztig regarding canonical bases in quantum groups. Ringel...

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Chern Medal

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seminal work in Hodge theory and periods of algebraic varieties" 2018 Masaki Kashiwara "For his outstanding and foundational contributions to algebraic analysis...

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Pierre Deligne

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to Deligne's paper, Zoghman Mebkhout's 1980 thesis and the work of Masaki Kashiwara through D-modules theory (but published in the 80s) on the problem...

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Kyoto Prize in Basic Sciences

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2016-10-15. "Edward Witten". Inamori Foundation. Retrieved 2016-10-15. "Masaki Kashiwara". Inamori Foundation. Retrieved 2018-06-15. "Elliott H. Lieb". Inamori...

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Geordie Williamson

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Wolfgang Soergel, one by David Kazhdan and George Lusztig and one by Masaki Kashiwara and Toshiyuki Tanisaki for sufficiently large group-specific characteristics...

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List of Japanese people

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Hidetsugu Yukawa Hideki Norio Kaifu Heisuke Hironaka Kenkichi Iwasawa Masaki Kashiwara Takahiro Kawai Kunihiko Kodaira Shigefumi Mori Mikio Sato Seki Kōwa...

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List of International Congresses of Mathematicians Plenary and Invited Speakers

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Victor Ivrii Henryk Iwaniec S. V. Jablonskii Arthur Jaffe V. G. Kac Masaki Kashiwara Nicholas Michael Katz George Kempf V. M. Kharlamov A. A. Kirillov Boris...

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List of Kyoto Prize winners

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2017 Graham Farquhar  Australia born 1947 Biological sciences 2018 Masaki Kashiwara  Japan born 1947 Mathematical sciences 2019 James Gunn  United States...

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Tetsuji Miwa

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hyperfunctions in the early 1970s under the influence of Mikio Satō and Masaki Kashiwara. In 1973 Miwa moved to RIMS (Research Institute for Mathematical Sciences)...

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International Mathematical Union

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Shigefumi Mori) 2003–2006: John M. Ball (vice: Jean-Michel Bismut, Masaki Kashiwara) 2007–2010: László Lovász (vice: Zhi-Ming Ma, Claudio Procesi) 2011–2014:...

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Mathematical Society of Japan

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Takuro Shintani 1979 - Goro Nishida 1980 - Katsuhiro Shiohama 1981 - Masaki Kashiwara 1982 - Shigeru Iitaka 1983 - Shigefumi Mori 1984 - Yukio Matsumoto...

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Quantum group

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group, and to define quasi-invariants for knots, links and braids. Masaki Kashiwara has researched the limiting behaviour of quantum groups as q → 0, and...

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Combinatorics and physics

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International Conference on Combinatorial physics Physical Combinatorics, Masaki Kashiwara, Tetsuji Miwa, Springer, 2000, ISBN 0-8176-4175-0 David Ruelle (1999)...

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Asahi Prize

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Team (Leader: Masatoshi Koshiba), 1987 (2002 Nobel Prize in Physics) Masaki Kashiwara / Takahiro Kawai, mathematician, 1987 Hirotsugu Akaike, statistician...

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Littelmann path model

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bases arising in the approach to quantum groups of Masaki Kashiwara and George Lusztig. Kashiwara and Lusztig constructed canonical bases for representations...

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