Jean-Louis Verdier

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

Life

Verdier studied from 1955 at the Ecole Normale Superieure and was a close associate of Alexander Grothendieck in the 1960s. He earned his doctorate under him in 1967 with the dissertation Des Catégories Dérivées of Catégories Abéliennes. From him the concepts of derived categories originate ( Catégories Derivées, Derived Categories, with Grothendieck ) and the Verdier duality (a variant of the Poincaré duality for singular spaces). He gave particular contributions to the SGA 4 of the Grothendieck seminar at IHES (from 1963/1964 ). In it, he also took with his theory of hyper covers ideas for etale homotopy by Michael Artin and Barry Mazur anticipated. Later he worked on the theory of integrable dynamical systems.

He was at the Ecole Normale Superieure, where he was Directeur des études de Mathématiques and for many years led a seminar with Adrien Douady, and in the 1970s, a professor at the University of Paris VII ( University of Paris- Diderot ), where he director of the mathematical Institute was, and later at the University of Montpellier. Verdier was a member of the mathematician Nicolas Bourbaki group.

His doctoral counts Arnaud Beauville.

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