Luc Illusie

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Luc Illusie

Luc Illusie (* 1940 ) is a French mathematician who deals with algebraic geometry.

Life

Luc Illusie studied with Henri Cartan (he took part in the Cartan / Schwartz seminar in 1963/64) and was a close collaborator of Alexander Grothendieck in the 1960s , with whom he received his doctorate in 1971 at the University of Paris-Süd in Orsay (Complexe cotangent et déformations). With this and Pierre Berthelot he had already published SGA 6, the Grothendieck seminar for 1966/67. He was a professor at the University of Paris-South, where he is now Professor Emeritus. In 2006/07 he was at the Institute for Advanced Study .

With Daniel Quillen , he introduced the concept of the cotangential complex around 1970. In 1990 he was editor of the Grothendieck Festschrift with others.

Gérard Laumon (1983) is one of his doctoral students . In 2012 he received the Émile Picard Medal for his fundamental work on the cotangential complex, the Picard-Lefschetz formula, the Hodge theory and logarithmic geometry.

Fonts

  • Complexe cotangent et déformations, 2 volumes, Springer 1971/72
  • with José Bertin, Jean-Pierre Demailly , Chris Peters : Introduction to Hodge Theory. American Mathematical Society, 1996.
  • Luc Illusie et al. a .: Reminiscences of Grothendieck and his school, Notices AMS, October 2010

Web links

Individual evidence

  1. ^ 2 volumes, Springer, 1971, 1972, Lecture Notes in Mathematics Vol. 239, 283
  2. Pierre Cartier , Luc Illusie, Yuri Manin , Kenneth Alan Ribet , Nicholas Katz , Gérard Laumon (editors) The Grothendieck Festschrift , 2 volumes, Birkhäuser 1990
  3. Appreciation at the Academie des Sciences 2012, pdf ( Memento from December 14, 2013 in the Internet Archive )