Perspectives on Four Decades of Algebraic Geometry, Volume 1

Singularities of bridgeland moduli spaces for k3 categories: an update.- On rigid manifolds of kodaira dimension 1.- On the components of the main stream of the moduli space of surfaces of general type with pg = q = 2.- Degree of irrationality of fano threefold hypersurfaces.- Non effective planar linear systems at the boundary of the mori cone.- Sur l'injectivite de l'application cycle de jannsen.- A prym hypergeometric.- Complete curves in the moduli space of polarized k3 surfaces and hyper-kahler manifolds.- The grothendieck group of algebraic stacks.- Conformal blocks in genus zero and the kz connection.- Second fundamental form and higher gaussian maps.- On infinitesimal invariants of normal functions.- Macaulay duality and its geometry.- On the chow ring of fano fourfolds of k3 type.- Quadratic counts of twisted cubics.