Geometric Analysis and Topology Seminar

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Singular Kähler-Einstein metrics and RCD spaces

Speaker: Gábor Székelyhidi, Northwestern University

Location: Warren Weaver Hall 512

Date: Friday, September 13, 2024, 11 a.m.

Synopsis:

An important problem is to understand the metric geometry of singular Kähler-Einstein metrics. The RCD property is a notion of Ricci curvature lower bound for metric measure spaces, that has been extensively studied recently. I will show that singular Kähler-Einstein spaces that can be approximated in a suitable sense by constant scalar curvature metrics satisfy this condition, and I will discuss some applications.