Yasutaka Ihara
Yasutaka Ihara ( Japanese 伊 原 康隆 , Ihara Yasutaka ; * 1938 in Tokyo Prefecture ) is a Japanese mathematician who mainly deals with number theory.
Ihara received her PhD from Tokyo University in 1967 . In 1965/66 he was at the Institute for Advanced Study . He was a professor at the University of Tokyo and later at the Research Institute for Mathematical Science (RIMS) of the University of Kyoto . In 2002 he retired. He was then a professor at Chūō University .
Among other things, Ihara dealt with geometric and number theoretic applications of Galois theory . The Ihara zeta function, which he introduced in the 1960s, comes from him. It allows an interpretation in graph theory , as Jean-Pierre Serre suspected and Toshikazu Sunada showed in 1985. It can also be used to formulate an analogue of the Riemann Hypothesis in graph theory (Sunada).
In 1990 he gave a plenary lecture at the ICM in Kyōto (Braids, Galois groups and some arithmetic functions) and in 1970 he was invited speaker at the ICM in Nice ( Non abelian class fields over function fields in special cases ).
Kazuya Katō is one of his PhD students .
Fonts
- On Congruence Monodromy Problems, Mathematical Society of Japan Memoirs, World Scientific 2009 (originally from lectures 1968/1969)
- with Michael Fried (Editor): Arithmetic fundamental groups and noncommutative Algebra, American Mathematical Society, Proc. Symposium Pure Math. Vol. 70, 2002
- as editor: Galois representations and arithmetic algebraic geometry, North Holland 1987
- with Kenneth Ribet , Jean-Pierre Serre (editor): Galois Groups over Q, Springer 1989 (Proceedings of a Workshop 1987)
Web links
Individual evidence
- ^ Ihara: On discrete subgroups of the two by two projective linear group over p-adic fields. J. Math. Soc. Japan, Vol. 18, 1966, pp. 219-235
| personal data | |
|---|---|
| SURNAME | Ihara, Yasutaka |
| ALTERNATIVE NAMES | 伊 原 康隆 (Japanese) |
| BRIEF DESCRIPTION | Japanese mathematician |
| DATE OF BIRTH | 1938 |
| PLACE OF BIRTH | Tokyo prefecture |