Kyōji Saitō

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From left: Ngo Viet Trung, Kyoji Saito, Frederic Pham , Gert-Martin Greuel , Oberwolfach 2009

Kyōji Saitō ( Japanese 齋藤 恭 司 , Saitō Kyōji ; * December 25, 1944 ) is a Japanese mathematician who deals with complex algebraic geometry ( complex analytical geometry ).

Life

Saito was in 1971 at the University of Goettingen in Egbert Brieskorn doctorate ( quasi homogeneous isolated singularities of hypersurfaces ). He is Professor at the Research Institute for Mathematical Sciences (RIMS) at Kyoto University .

Saitō dealt with the interplay of the theory of Lie algebras , reflection groups ( Coxeter groups ) and Zopf groups and singularities of hypersurfaces.

From the 1980s he dealt with deep-set symmetries in period integrals. In the case of the exponential function and elliptic functions, they are linked with Lie algebras. Saitō introduced higher-dimensional generalizations of elliptical integrals (integrals of primitive forms , first considered in the study of the unfolding of isolated singularities of complex hypersurfaces), which are related to infinitely dimensional Lie algebras and examined the associated novel automorphic forms. The theory has geometric connection to surfaces structures , mirror symmetry ( Mirror Symmetry ), Frobenius manifolds and Gromov-Witten theory in algebraic geometry and various topics of mathematical physics in the field of string theory .

He was invited speaker at the 1990 International Congress of Mathematicians in Kyoto ( The limit element in the configuration algebra for a discrete group: a prècis ). In 2011 he received the Geometry Prize from the Japanese Mathematical Society .

Fonts

  • with Brieskorn Artin groups and Coxeter groups , Inventiones Mathematicae 17, 1972, 245-271, online
  • Primitive forms for a universal unfolding of a function with an isolated critical point , J. Fac. Sci. Univ. Tokyo IA 28, 1982
  • Period mapping associated to a primitive form , Pub. RIMS, 19, 1983, 1231-1264
  • Editor with I. Satake, A. Matsuro, A. Kashiwara Topological Field Theory, Primitive Forms and Related Topics , Birkhäuser Verlag, Progress in Mathematics, 1998
  • with Atsuki Takahashi From primitive forms to Frobenius manifolds , in From Hodge theory to integrability and TQFT: tt * -geometry , Proc. Symposia in pure mathematics 78, American Mathematical Society 2008, pp. 31-48
  • Primitive automorphic forms , in Björn Engquist, Wilfried Schmid (editor) Mathematics Unlimited - 2000 and beyond , Springer Verlag 2001, pp. 1003-1018
  • Around the theory of the general weight system: relations with singularity theory, the generalized Weyl group and its invariant theory, etc. , in Katsumi Nomizu Selected papers on harmonic analysis, groups and invariants , AMS Translations, Series 2, Volume 183, 1991
  • Editor with B. Teissier, DT Lê Singularity Theory , World Scientific 1995

Web links

Individual evidence

  1. ↑ Date of birth according to LCCN
  2. ↑ Kyōji Saitō in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ↑ Saito at the Kavli Institute
personal data
SURNAME Saitō, Kyōji
ALTERNATIVE NAMES 齋藤 恭 司 (Japanese)
BRIEF DESCRIPTION Japanese mathematician
DATE OF BIRTH December 25, 1944