The conical Kaehler-Ricci flow and related work Jiawei Liu (Magdeburg) Abstract: I will show the long-time existence, uniqueness, regularity and convergence of the conical Kaehler-Ricci flow with weak initial data which admit an L^p-density for some p>1. Then I will talk about the limiting flows of the conical Kaehler-Ricci flows when the cone angles tend to zero. At last, I will show a regularity estimate of the conical elliptic complex Monge-Ampere equation by using the conical flow.