Gorō Nishida

from Wikipedia, the free encyclopedia

Gorō Nishida ( Japanese 西 田 吾郎 , Nishida Gorō ; born September 18, 1943 in Osaka Prefecture ; † June 2, 2014 ) was a Japanese mathematician who dealt with homotopy theory .

Nishida studied at the University of Kyoto with a diploma in 1968 and a doctorate in 1973 ( The nilpotency of elements of the stable homotopy groups of spheres ). From 1968 to 1973 he was an assistant at the Research Institute for Mathematical Sciences in Kyoto and 1971/72 at the University of Manchester . From 1973 he was a lecturer, from 1979 associate professor and from 1991 professor of mathematics at Kyoto University.

Nishida belonged to the Japanese school of homotopy theory by Hiroshi Toda . His 1973 proof of the Nilpotency of elements of positive degree in the stable homotopiering of spheres was one of the first results to point to a deep-seated overarching theory that later culminated in the conjectures of Douglas Ravenel (proven by Michael J. Hopkins , Ethan Devinatz , Jeffrey H. Smith ). In the 1990s he dealt with elliptic cohomology (the application of modular forms in algebraic topology). His first work concerned infinitely dimensional loop spaces, which he later dealt with.

In 1979 he received the Iyanaga Prize from the Japanese Mathematical Society .

In 1969 he married Hiromi Goto.

Fonts

  • Cohomology operations in iterated loop spaces , Proc Japan Acad 44 (1968) 104-109
  • The nilpotency of elements of the stable homotopy groups of spheres . J. Math. Soc. Japan 25 (1973) 707-732
  • with M. Mimura, H. Toda, On the classification of H – spaces of rank 2 , J Math Kyoto Univ 13 (1973) 611–627
  • with M. Mimura, J. Mukai: Representing elements of stable homotopy groups by symmetric maps , Osaka J Math 11 (1974) 105-111
  • Infinite loop spaces , Sugaku 26, Iwanami Shoten 1974
  • The nilpotency of the stable homotopy groups of spheres , in: Proceedings of the International Conference on Manifolds and Related Topics in Topology, University of Tokyo Press (1975)
  • with M. Mimura, H. Toda: Mod p decomposition of compact Lie groups , Publications of the RIMS 13, Kyoto University (1977) 627-680
  • The transfer homomorphism in equivariant generalized cohomology theories , J Math Kyoto Univ 18 (1978) 435-451
  • On a characterization of finite groups of p-rank 1 , J Math Kyoto Univ 18 (1978) 543-556
  • with M. Nagata, H. Toda: Segal-Becker theorem for KR-theory , J Math Soc Japan 34 (1982) 15-33
  • On the S1 Segal conjecture , Publications of the RIMS 19, Kyoto University (1983) 1153-1162
  • On the algebraic K group of lens spaces and its applications , J Math Kyoto Univ 23 (1983) 211-217
  • Hecke functors and the equivariant Dold – Thom theorem , Publications of the RIMS 20, Kyoto University (1984) 65-77
  • Stable homotopy type of classifying spaces of finite groups . Algebraic and topological theories (Kinosaki, 1984) 391-404, Tokyo: Kinokuniya 1985
  • On the spectra L (n) and a theorem of Kuhn , in: Homotopy Theory and Related Topics, Adv Stud Pure Math 9, North-Holland (1986) 273-286
  • Modular forms and the double transfer for BT² , Japanese J Math 17 (1991) 187-201
  • On mod p cohomology of the space XΓ and mod p trace formula for Hecke operators , J Math Kyoto Univ 32 (1992) 515-526
  • with K. Kordzaya: A duality theorem in Hopf algebras and its application to Morava K-theory of BZ / pr , J Math Kyoto Univ 36 (1996) 771-778
  • with S. Morimoto: Elliptic cohomology of classifying spaces of cyclic groups and higher level modular forms , J Math Kyoto Univ 37 (1997) 701-715
  • with Y. Yang: On ap-local stable splitting of U (n) , J Math Kyoto Univ 41 (2001) 387-401

Web links

Individual evidence

  1. ↑ Entry 000008574508 in the Doctoral Dissertation Bibliographic Database of the National Institute of Informatics
personal data
SURNAME Nishida, Gorō
ALTERNATIVE NAMES 西 田 吾郎 (Japanese)
BRIEF DESCRIPTION Japanese mathematician
DATE OF BIRTH September 18, 1943
PLACE OF BIRTH Osaka prefecture
DATE OF DEATH 2nd June 2014