Michio Jimbo

Michio Jimbō ( Japanese 神保道夫 , Jimbō Michio ; * 1951 ) is a Japanese mathematician who deals with mathematical physics.

Life

Jimbō studied at the University of Tokyo (graduated in 1974) and with Mikio Satō at the RIMS (Research Institute for Mathematical Sciences) in Kyoto . In 1992 he became a professor at Kyoto University and in 2000 at his alma mater.

Jimbō deals with integrable models of statistical mechanics and quantum field theory and the algebraic structures that appear there, such as quantum groups (in connection with the Yang-Baxter equation), which he discovered independently of Wladimir Drinfeld , and affine Lie algebras (for example in soliton equations , the can be solved exactly due to an infinite number of conserved quantities, in collaboration with Etsurō Date, Tetsuji Miwa and Masaki Kashiwara ) With the soliton equations, they developed the direct method of Ryōgo Hirota from the early 1970s. With Miwa and others he also examined the role of quantum groups in solvable lattice models and found exact formulas for their correlation functions. With Hitoshi Konno, Satoru Odake and Jun'ichi Shiraishi he investigated elliptical quantum groups.

With his teacher Mikio Satō and Tetsuji Miwa, he discovered a connection with monodrome-preserving deformations of linear differential equations and correlation functions in the Ising model in the 1970s . With Miwa he then investigated general isomonodromic deformations of linear differential equations (started by Ludwig Schlesinger and Richard Fuchs at the beginning of the 20th century ).

He also examined exactly solvable spin chains and the related algebraic structures.

In 1987 he and Tetsuji Miwa received the Autumn Prize of the Japanese Mathematical Society and in 1993 the Prize of the Japanese Academy of Sciences. In 1990 he was invited speaker at the International Congress of Mathematicians in Kyoto ( Solvable lattice models and quantum groups ). For 2013 he was awarded the Dannie Heineman Prize for Mathematical Physics together with Miwa for their fundamental developments in the field of integrable systems and their correlation functions in statistical mechanics and quantum field theory, using quantum groups, algebraic analysis and deformation theory .

Fonts

with Tetsuji Miwa, Etsurō Date: Solitons - differential equations, symmetries and infinite dimensional algebras . Cambridge University Press 2000, ISBN 0-521-56161-2
with Miwa: Algebraic analysis of solvable lattice models . American Mathematical Society 1993, ISBN 0-8218-0320-4
Editor: The Yang-Baxter Equation in integrable systems . World Scientific 1990
A q-difference analogue of U (g) and the Yang-Baxter equation . In: Lett. Math. Phys. , Volume 10, 1985, pp. 63-69

Web links

Website ( memento from January 6, 2010 in the Internet Archive ) at the Mathematical-Physical Institute of the University of Tokyo (English, Japanese)

Individual evidence

↑ 神保道夫 . In: デジタル版日本人名大辞典 + Plus at kotobank.jp. Retrieved July 19, 2012 (Japanese).
↑ Jimbo: A q difference analog of U (g) and the Yang-Baxter equation . In: Letters Math. Phys. , Volume 10, 1985, pp. 63-69. According to the Spiers database, the most cited article in mathematical physics in 2000 slac.stanford.edu , in fourth place with the AQ analog of U (GL (N + 1)), Hecke algebra and the Yang-Baxter equation, published a year later In: Lett. Math. Phys. , Volume 11, 1986, p. 247. In 2005 they were in 5th and 10th place
↑ Jimbō, Miwa, Satō, Yasuko Mori: Holonomic quantum fields an unanticipated link between deformation theory of differential equations and quantum fields . In: Lecturenotes in Physics , Springer, Volume 116, 1980, pp. 119-142. Previously in a long series of papers in the Proc. Japan Academy and Pub. RIMS Holonomic quantum fields , Studies on holonomic quantum fields
^ The Imperial Prize, Japan Academy Prize, Duke of Edinburgh Prize Recipients. Japanese Academy of Sciences, 2008, accessed December 5, 2009 .
↑ Official laudation: for their profound developments in integrable systems and their correlation functions in statistical mechanics and quantum field theory, making use of quantum groups, algebraic analysis and deformation theory.

personal data
SURNAME	Jimbo, Michio
ALTERNATIVE NAMES	神保道夫 (Japanese); Jinbo, Michio
BRIEF DESCRIPTION	Japanese mathematician
DATE OF BIRTH	1951

[1] 神保道夫 . In: デジタル版日本人名大辞典 + Plus at kotobank.jp. Retrieved July 19, 2012 (Japanese).

[2] Jimbo: A q difference analog of U (g) and the Yang-Baxter equation . In: Letters Math. Phys. , Volume 10, 1985, pp. 63-69. According to the Spiers database, the most cited article in mathematical physics in 2000 slac.stanford.edu , in fourth place with the AQ analog of U (GL (N + 1)), Hecke algebra and the Yang-Baxter equation, published a year later In: Lett. Math. Phys. , Volume 11, 1986, p. 247. In 2005 they were in 5th and 10th place

[3] Jimbō, Miwa, Satō, Yasuko Mori: Holonomic quantum fields an unanticipated link between deformation theory of differential equations and quantum fields . In: Lecturenotes in Physics , Springer, Volume 116, 1980, pp. 119-142. Previously in a long series of papers in the Proc. Japan Academy and Pub. RIMS Holonomic quantum fields , Studies on holonomic quantum fields

[4] The Imperial Prize, Japan Academy Prize, Duke of Edinburgh Prize Recipients. Japanese Academy of Sciences, 2008, accessed December 5, 2009 .

[5] Official laudation: for their profound developments in integrable systems and their correlation functions in statistical mechanics and quantum field theory, making use of quantum groups, algebraic analysis and deformation theory.