Akihiro Tsuchiya

Akihiro Tsuchiya ( Japanese 土屋昭博 , Tsuchiya Akihiro ; * 1943 ) is a Japanese mathematician who deals with differential topology and mathematical physics ( conformal field theories ).

Life

Tsuchiya was a professor at Nagoya University and after his retirement he is at the Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU) at the University of Tokyo .

In the late 1960s, he dealt with differential topology. He received his doctorate in 1971 and in his doctoral thesis he managed to fully determine the characteristic classes of spherical fiber spaces. From the late 1980s onwards, he dealt with conformal field theories, which at that time became more topical in string theory , but also had applications in statistical mechanics. Tsuchiya used advanced mathematical methods such as the representation of infinite dimensional algebras, vertex operator algebras, theory of D modules and the theory of module spaces from algebraic geometry.

In 1991 he received the Autumn Prize of the Japanese Mathematical Society . In 1990 he was invited speaker at the International Congress of Mathematicians in Kyoto ( Moduli of stable curves, conformal field theory and affine Lie algebras ).

Fonts

with Y. Kanie: Vertex operators in conformal field theory on and monodromy representations of the braid group ${\ displaystyle P ^ {1}}$ . In: Conformal field theory and solvable lattice models . Adv. Stud. Pure Math., 16: 297-372 (1988)
with Y. Yamada: Conformal field theory on universal family of stable curves with gauge symmetries . In: Integrable systems in quantum field theory and statistical mechanics . Adv. Stud. Pure Math. 19 (1989) 459-566

Web links

Akihiro Tsuchiya, Kavli Institute (English, Japanese)

Individual evidence

↑ Entry 000008549940 in the Doctoral Dissertation Bibliographic Database of the National Institute of Informatics
↑ Akihiro Tsuchiya: Characteristic classes for spherical fiber spaces . In: Proceedings of the Japan Academy . tape 44 , no. 7 , 1968, p. 617-622 , doi : 10.3792 / pja / 1195521078 (full text).

personal data
SURNAME	Tsuchiya, Akihiro
ALTERNATIVE NAMES	土屋昭博 (Japanese)
BRIEF DESCRIPTION	Japanese mathematician
DATE OF BIRTH	1943

[1] Entry 000008549940 in the Doctoral Dissertation Bibliographic Database of the National Institute of Informatics

[2] Akihiro Tsuchiya: Characteristic classes for spherical fiber spaces . In: Proceedings of the Japan Academy . tape 44 , no. 7 , 1968, p. 617-622 , doi : 10.3792 / pja / 1195521078 (full text).