Sébastien Boucksom - 14h00 - Positivity in complex algebraic and differential geometry.

I will survey the relations between positivity of line bundles and vector bundles from the perspective of algebraic geometry, phrased in terms of global sections, and their differential geometric counterparts, which involve (possibly singular) Hermitian metrics of nonnegative curvature. The main emphasis will be on positivity of direct images.