Max Karoubi

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Max Karoubi (* 1938 in Tunis ) is a French mathematician who has been a leading expert in algebraic theory since the 1960s .

Max Karoubi (right) with Wendelin Werner, ICM 2006

biography

Karoubi attended the École normal supérieure from 1959 to 1963 . He received his doctorate in 1967 at the University of Paris with Henri Cartan on Clifford algebras and theory, while at the same time he was a researcher at the CNRS from 1963 to 1967 , working with Alexandre Grothendieck and Cartan. In 1963/64 he took part in the seminar of Cartan and Laurent Schwartz in Paris. He first met Grothendieck in 1965, when he was giving courses with other French mathematicians in Algiers, where Karoubi was doing his military service, and afterwards they exchanged ideas on the K theory. Then he was Maître de conférences at the University of Strasbourg and from 1972 professor at the University of Paris VII-Denis Diderot. From 1973 to 1989 he was also Maître de conférences at the École polytechnique . In 2007 he retired. He was visiting professor at Princeton (1968/69 at the Institute for Advanced Study ), Berkeley , Chicago , Rome , Buenos Aires , Singapore , Copenhagen , Stanford, among others .

He was the founder and organizer of the European Congress of Mathematicians (first in Paris in 1992). In 1978 he was awarded the Paris Academy of Sciences Prize. In 1980 he received the CNRS silver medal. In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( Fondaments de la K-theory ). He is a fellow of the American Mathematical Society .

His doctoral students include Christophe Soulé and Jean-Louis Loday .

Fonts

Books

  • -Theory. An Introduction. Springer, Basic Teachings of Mathematical Sciences, 1978, 2008, ISBN 3-540-79889-7 (Russian translation 1981).
  • with Christian Leruste: Algebraic Topology via Differential Geometry. Cambridge University Press 1987.
  • Homology cyclique et -theorie. Astérisque Vol. 149, 1987.
  • Rapport sur K-theorie , in Jean-Paul Pier Development of mathematics 1950-2000 , Birkhäuser 2000

Publications (selection)

  • Algèbres de Clifford et K-théorie. Ann. Sci. École Norm. Sup. (4) 1 1968 161-270.
  • with Donovan: Graded Brauer groups and K-theory with local coefficients. Inst. Hautes Études Sci. Publ. Math. No. 38 1970 5-25.
  • Théorie de Quillen et homologie du groupe orthogonal. Ann. of Math. (2) 112 (1980) no. 2, 207-257.
  • Le théorème fondamental de la K-théorie hermitienne. Ann. of Math. (2) 112 (1980) no. 2, 259-282.

Web links

Individual evidence

  1. Karoubi, L'influence d'Alexandre Grothendieck en K-théorie, pdf