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It has been known since Song-Tian 2006 that the Kahler-Ricci flow on a smooth minimal elliptic surface converges in the current sense to a canonically defined generalized Kahler-Einstein metric on the canonical model.They also conjectured that the congerence also take place geometrically in the Gromov-Hausdorff topology.It is the simplest collapsing structure in the Analytic Minimal Model Program on minimal models.In this talk I will present the confirmation to this conjecture.It is a joint work with Professor Tian.