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Sungmin Yoo, Bergman Metrics and Kähler-Einstein Metrics on Projective Manifolds
March 25 @ 11:00 am - 12:00 pm KST
B266, IBS Korea, Republic of
After Yau suggested the problem of approximations of Kähler-Einstein metrics by Bergman type metrics, various types of Bergman metrics have been developed and studied by Tian, Donaldson, Tsuji, etc. They showed that if a polarized manifold admits a Kähler-Einstein metric, there exist a sequence of Bergman type metrics which converges to the Kähler-Einstein metric. In this talk, we will survey their results and discuss some remaining problems in this subject.