Singular Kahler-Einstein metrics and RCD spaces

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Gabor Szekelyhidi, Northwestern Univesity
Fine Hall 314

An important problem is to understand the metric geometry of singular Kahler-Einstein spaces. The RCD property is a notion of Ricci curvature lower bound for metric measure spaces, that has been extensively studied recently. I will discuss settings when the RCD condition holds for singular Kahler-Einstein spaces, as well as some applications.