In view of the impressive progress made in the area of geometric evolution equations, the workshop is planned as a stimulating meeting between specialists presenting the state of recent research in the field and mathematicians, young or well-established in other areas, for whom 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.