On the convergence of Kahler-Ricci flow on minimal models of general type

On the convergence of Kahler-Ricci flow on minimal models of general type

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Zhenlei Zhang, Capital Normal University, Beijing
Fine Hall 314

I will show that the Kahler-Ricci flow on a three dimensional minimal model of general type converges in the Gromov-Hausdorff topology to the unique singular Kahler-Einstein metric. The proof depends on an integral version of Cheeger-Colding-Tian theory and a diameter bound estimate to the singular Kahler-Einstein metric by Song. It is a joint work with Tian.