Jean-Louis Verdier

Jean-Louis Verdier ( February 2, 1935 - August 25, 1989 ) was a French mathematician who dealt with algebraic geometry .

Jean-Louis Verdier with Emma Previato , Oberwolfach 1984

Life

Verdier studied from 1955 at the École normal supérieure and was a close collaborator of Alexander Grothendieck in the 1960s. He received his doctorate with him in 1967 with the dissertation Des Catégories Dérivées des Catégories Abéliennes . The concepts of the derived categories (Catégories Derivées, Derived Categories, with Grothendieck) and the Verdier duality (a variant of the Poincaré duality for singular spaces) come from him. In particular, he made contributions to the SGA 4 of the Grothendieck seminar at IHES (from 1963/1964, development of the étale cohomology with Grothendieck and Michael Artin). With his theory of hypercovers he also anticipated ideas on etale homotopy by Michael Artin and Barry Mazur . Later he worked on the theory of integrable dynamic systems.

He was at the École normal supérieure, where he was Directeur des études de mathématiques and for many years led a seminar with Adrien Douady , and in the 1970s professor at the University of Paris VII (University of Paris-Denis Diderot), where he was director of mathematics Institute and later at the University of Montpellier . Verdier was a member of the Nicolas Bourbaki group of mathematicians . In 1984 he was President of the Société Mathématique de France .

Arnaud Beauville is one of his PhD students .

He died in a traffic accident with his wife near his summer home.

Web links

Jean-Louis Verdier in the Mathematics Genealogy Project (English)

Individual evidence

^ Obituary in Gazette des Mathematiciens , 1989
↑ 1996 in Astérisque. Volume 239 published, partly also in SGA 4 1/2. Online (PDF file; 1.1 MB)
↑ Grothendieck proposed the elaboration of the concept as the subject of the dissertation by Verdier, who published a first mimeographed version at IHES in 1963, which was later published in SGA 4 1/2. He did not come to a complete elaboration including derived functors because he turned to other areas. Luc Illusie et al. a., Reminiscences of Grothendieck and his school, Notices AMS, October 2010, p. 1110 f
↑ Olivier Babelon, Pierre Cartier , Yvette Kosmann-Schwarzbach : Integrable systems. The Verdier memorial colloquium. Birkhäuser, Progress in Mathematics, 1993.

personal data
SURNAME	Verdier, Jean-Louis
BRIEF DESCRIPTION	French mathematician
DATE OF BIRTH	February 2, 1935
DATE OF DEATH	August 25, 1989

[1] Obituary in Gazette des Mathematiciens , 1989

[2] 1996 in Astérisque. Volume 239 published, partly also in SGA 4 1/2. Online (PDF file; 1.1 MB)

[3] Grothendieck proposed the elaboration of the concept as the subject of the dissertation by Verdier, who published a first mimeographed version at IHES in 1963, which was later published in SGA 4 1/2. He did not come to a complete elaboration including derived functors because he turned to other areas. Luc Illusie et al. a., Reminiscences of Grothendieck and his school, Notices AMS, October 2010, p. 1110 f

[4] Olivier Babelon, Pierre Cartier , Yvette Kosmann-Schwarzbach : Integrable systems. The Verdier memorial colloquium. Birkhäuser, Progress in Mathematics, 1993.