Tetsuji Miwa

Tetsuji Miwa
Tetsuji Miwa
Tetsuji Miwa no Instituto de Pesquisas Matemáticas de Oberwolfach em 2006
Nascimento 10 de fevereiro de 1949
Tóquio
Cidadania Japão
Alma mater
Ocupação matemático, professor universitário
Distinções Prêmio Dannie Heineman de Física Matemática (2013)
Empregador(a) Universidade de Quioto
Campo(s) física matemática

Tetsuji Miwa (三輪 哲二, Miwa Tetsuji; 10 de fevereiro de 1949) é um matemático japonês. Trabalha com física matemática.

Miwa estudou na Universidade de Tóquio, onde no início da década de 1970 trabalhou com análise microlocal e hiperfunções, sob a influência de Mikio Satō e Masaki Kashiwara. Foi professor da Universidade de Quioto e do Research Institute for Mathematical Sciences (RIMS) em Quioto.

Com Mikio Satō e Michio Jimbo descobriu na década de 1970 uma conexão com deformações que preservam a monodromia (isomonodrômicas) de equações diferenciais lineares e funções de correlação no modelo Ising.[1] Com Jimbō investigou em seguida deformações isomonodrômicas gerais de equações diferenciais lineares (estudo iniciado no início do século XX por Ludwig Schlesinger).

Com Michio Jimbo e Etsurō Date pesquisou o papel de álgebras de Lie afins in equações de solitons, e com Jimbō o papel de grupos quânticos na solução exata de modelos de malha de mecânica estatística.

Recebeu em 1987 juntamente com Michio Jimbo o Prêmio de Outono da Sociedade Matemática do Japão.

Em 1998 apresentou uma palestra plenária no Congresso Internacional de Matemáticos (ICM) em Berlim (Solvable Lattice Models and Representation Theory of Quantum Affine Algebras) e em 1986 foi palestrante convidado ("Invited Speaker") no ICM em Berkeley (Integrable lattice models and branching coefficients).

Recebeu o Prêmio Dannie Heineman de Física Matemática de 2013 juntamente com Michio Jimbo, por seus desenvolvimentos fundamentais na área de sistemas integráveis e suas funções de correlação em mecânica estatística e teoria quântica dos campos, com aplicações de grupos quânticos, análise algébrica e teoria das deformações.[2]

Obras

  • com Masaki Kashiwara (Eds.): Physical Combinatorics. Birkhäuser 2000, ISBN 3-7643-4175-0/ISBN 0-8176-4175-0
  • com Michio Jimbō, Etsurō Date: Solitons – differential equations, symmetries and infinite dimensional algebras. Cambridge University Press 2000, ISBN 0-521-56161-2
  • com Jimbō: Algebraic analysis of solvable lattice models. American Mathematical Society 1993, ISBN 0-8218-0320-4
  • com Jimbō: Solitons and infinite dimensional Lie algebras. Pub. RIMS, Vol. 19, 1983, p. 943, doi:10.2977/prims/1195182017

Referências

  1. 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, Vol. 116, 1980, p. 119-142. Anteriormente em uma longa série de trabalhos nos Proc. Japan Academy und Pub. RIMS Holonomic quantum fields, Studies on holonomic quantum fields
  2. Laudação oficial: 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.


Precedido por
Giovanni Jona-Lasinio
Prêmio Dannie Heineman de Física Matemática
2013
com Michio Jimbo
Sucedido por
Gregory Winthrop Moore


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