In view of the impressive progress made in the area of geometric evolution equations, the workshop is planned as a stimulating meeting between specialists representing the state of recent research in the field, and mathematicians in other areas, for which curvature flows prompt further investigations in diverse directions.

The two week workshop will emphasize successively the theme of intrinsic curvature flows with a focus on Ricci and Kähler-Ricci flows, implications on the Poincaré conjecture, the geometrization conjecture, and the existence and uniqueness of special Kähler metrics on projective varieties; and that of extrinsic curvature flows - mean and inverse mean curvature flows, homogenous and non-homogenous Gauss curvature flows, general relativity. There will be mini-courses related to each of the two main topics during the period of the workshop.