# nLab Mikio Sato

Selected writings

Mikio Sato is a Japanese algebraic geometer and number theorist. He founded a subject called algebraic analysis, which he introduced along with the sheaf theoretic technique of hyperfunctions, fundamental aspects of microlocalization. Sato studied D-modules and especially holonomic systems.

Much of his research is related to the study of singularities and related research in Hodge theory where he substantially extended the foundations. The similarities of that research to B. A. Dubrovin‘s noton of Frobenius manifolds has been further developed by Klaus Hertling. He applied some of the methods to mathematical physics (integrable systems, solitons and wave equations…).

## Selected writings

• Tetsuji Miwa, Michio Jimbo, Introduction to holonomic quantum fields, pp. 28–36 in: The Riemann problem, complete integrability and arithmetic applications, Lec. Notes in Math. 925, Springer (1982) $[$doi:10.1007/BFb0093497$]$

• Michio Jimbo, Tetsuji Miwa, Mikio Sato, Yasuko Môri, Holonomic Quantum Fields — The unanticipated link between deformation theory of differential equations and quantum fields —, In: K. Osterwalder (ed.), Mathematical Problems in Theoretical Physics, Lecture Notes in Physics, 116 Springer (2005) $[$doi:10.1007/3-540-09964-6_310$]$

category: people

Last revised on June 12, 2022 at 20:50:30. See the history of this page for a list of all contributions to it.