Based on the compactness of the moduli of non-collapsed Calabi-Yau
spaces with mild singularities, we set up a structure theory for
polarized K\"ahler Ricci flows with proper geometric bounds.
Our theory is a generalization of the structure theory
of non-collapsed K\"ahler Einstein manifolds.
As applications, we prove the Hamilton-Tian conjecture and the partial-
C0-conjecture of Tian. This is a joint work with Xiuxiong Chen.