Table of contents : front-matter......Page 1 1Annulation du H1 pour les fibrés en droites plats......Page 6 2Results on varieties with many lines and their applications to adjunction theory......Page 21 3The stability of certain vector bundles on ℙn......Page 44 4Vector bundles, linear systems and extensions of π1......Page 56 5Vers une stratification de l’espace des modules des varietes abeliennes principalement polarisees......Page 76 6Singular hermitian metrics on positive line bundles......Page 92 7On adjoint bundles of ample vector bundles......Page 110 8Moderate degenerations of algebraic surfaces......Page 118 9Genus two fibrations revisited......Page 138 back-matter......Page 150 10Numerically effective vector bundles with small Chern classes......Page 153 11On the rank of non-rigid period maps in the weight one and two case......Page 165 12The geometry of the special components of moduli space of vector bundles over algebraic surfaces of general type......Page 174