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Title: The Futaki Invariant for Poincar茅-Mok-Yau type K盲hler metrics.
Abstract: In this talk, we recall the definition of PMY(Poincar茅-Mok-Yau) type K盲hler metric and then define its Futaki invariant which is an obstruction to the existence of constant scalar curvature K盲hler metrics. Also we will give some explicit PMY type metrics on some noncompact K盲hler manifolds with non-vanishing Futaki invariant. This work is joint with Jixiang Fu.