nLab Masaki Kashiwara

Masaki Kashiwara is a Japanese mathematician. He made substantial contributions to the theory of pseudodifferential operators, hyperfunctions and microlocal analysis, study of D-modules, holonomic systems, Riemann-Hilbert problem, categories of constructible sheaves and representation theory. He invented crystal bases? and crystals in Lie and quantum group theory.

• homepage, list of publicatons

Selected writings

On the Kadomtsev-Petviashvili equation:

• Etsuro Date, Michio Jimbo, Masaki Kashiwara, Tetsuji Miwa, Operator approach to the Kadomtsev-Petviashvili equation – Transformation groups for soliton equations. III, J. Phys. Soc. Jpn. 50 (1980) 3806-3812 [doi:10.1143/JPSJ.50.3806]

On microlocalization of abelian sheaves and Grothendieck's yoga of six operations:

• Masaki Kashiwara, Pierre Schapira, Sheaves on manifolds, Grundlehren 292, Springer (1990) [doi:10.1007/978-3-662-02661-8]

On category theory and sheaf and topos theory:

• Masaki Kashiwara, Pierre Schapira, Categories and Sheaves, Grundlehren der Mathematischen Wissenschaften 332, Springer (2006)

See also:

• P. Shapira, Masaki Kashiwara and algebraic analysis, Adv. Studies in Pure Analysis, arxiv/0810.4875

• Stephane Guillermou, Masaki Kashiwara, Pierre Schapira, Sheaf quantization of Hamiltonian isotopies and applications to non displaceability problems, arxiv/1005.1517

• M. Kashiwara, W.Schmid, Quasi-equivariant D-modules, equivariant derived category, and representations of reductive Lie groups, Lie Theory and Geometry, in Honor of Bertram Kostant, Progress in Mathematics, Birkhäuser, 1994, pp. 457–488

• M. Kashiwara, D-modules and representation theory of Lie groups, Annales de l’institut Fourier, 43 no. 5 (1993), p. 1597-1618, article, MR95b:22033

• M. Kashiwara, T. Kawai, T. Kimura, Foundations of algebraic analysis, Princeton Univ. Press 1986

• M. Kashiwara, D-modules and microlocal analysis, Transl. of math. monographs 217, Amer. Math. Soc. 2000

category: people