%0 Journal Article %T The Kahler-Ricci flow through singularities %A Jian Song %A Gang Tian %J Mathematics %D 2009 %I arXiv %X We prove the existence and uniqueness of the weak Kahler-Ricci flow on projective varieties with log terminal singularities. It is also shown that the weak Kahler-Ricci flow can be uniquely continued through divisorial contractions and flips if they exist. We then propose an analytic version of the Minimal Model Program with Ricci flow. %U http://arxiv.org/abs/0909.4898v1