Fonctions plurisousharmoniques et géométrie complexe: sur quelques résultats de J.-P. Demailly

This is a survey article, presenting few of the mathematical achievements of J.-P. Demailly. We discuss a few aspects of his approach for Fujita conjecture, and results around the Kähler cone of a compact Kähler manifold. The article will appear in a special issue of “Gazette des Mathématiciens”.