Goro Nishida

Goro Nishida (18 September 1943 in Osaka – 2 June 2014) was a Japanese mathematician. He was a leading member of the Japanese school of Homotopy theory (following in the tradition of Hiroshi Toda).[1] He received his PhD from Kyoto University in 1973, after spending the 1971-72 academic year at Manchester University in England. His proof in 1973 of Michael Barratt's conjecture (that positive-degree elements in the stable homotopy ring of spheres are nilpotent) was a major breakthrough: following Frank Adams' solution of the Hopf invariant one problem, it marked the beginning of a new global understanding of algebraic topology.

His contributions to the field were celebrated in 2003 at the NishidaFest[2] in Kinosaki,followed by a satellite conference at the Nagoya Institute of Technology; the proceedings were published in Geometry and Topology's monograph series. In 2000 he was the leading organizer for a concentration year at the Japan-US Mathematics Institute[3] at Johns Hopkins University.

His earliest work grew out of the study of infinite loopspaces; his first paper (in 1968, on what came eventually to be known as the Nishida relations) accounts for interactions between Steenrod and Kudo-Araki (Dyer–Lashof) operations. Some of his later work concerns a circle of ideas surrounding the Segal conjecture, transfer homomorphisms, and stable splittings of classifying spaces of groups. The ideas in this series of papers have by now grown into a rich subfield of homotopy theory; it continues today in (for example) the theory of P-compact groups.

References

  1. ↑ "西田吾郎氏死去（京都大名誉教授・代数トポロジー、京都大元副学長）". Jiji Press. 2014-06-03. Archived from the original on 2014-06-03. Retrieved 2014-06-03.
  2. ↑ http://msp.warwick.ac.uk/gtm/2007/10/index.xhtml
  3. ↑ http://www.mathematics.jhu.edu/JAMI9900/
  • G. Nishida, The nilpotency of elements of the stable homotopy groups of spheres. J. Math. Soc. Japan 25 (1973) 707–732
  • Michael J. Hopkins, Global methods in homotopy theory, in Homotopy theory (Durham, 1985), 73-96, London Math. Soc. Lecture Notes 117, Cambridge Univ. Press, Cambridge, 1987
  • V. Voevodsky, A nilpotence theorem for cycles algebraically equivalent to zero. Internat. Math. Res. Notices 4 (1995) 187–198
  • Proceedings of the International Meeting and its Satellite Conference on Homotopy Theory, dedicated to Goro Nishida, held in Kinosaki, July 28–August 1 and August 4–8, 2003. Geometry & Topology Monographs, 10. Geometry & Topology Publications, Coventry, 2007
  • G. Nishida Stable homotopy type of classifying spaces of finite groups. Algebraic and topological theories (Kinosaki, 1984) 391–404, Kinokuniya, Tokyo, 1986
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