Home /  Reading Seminar on Kahler_Einstein metrics and RCD spaces, Lecture 1: When are KE metric spaces RCD?

Seminar

Reading Seminar on Kahler_Einstein metrics and RCD spaces, Lecture 1: When are KE metric spaces RCD? October 17, 2024 (10:00 AM PDT - 12:00 PM PDT)
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Location: SLMath: Eisenbud Auditorium
Speaker(s) Shih-Kai Chiu (Vanderbilt University)
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Gabor, Section 3

P1 Prop 15 & Thm 16

The purpose of these series of lectures is to explain a recent result of Gabor Székelyhidi [Szek24] ttps://arxiv.org/abs/2408.10747, which shows that many singular Kähler-Einstein (K-E) spaces are quasi-smooth non collapsed RCD metric spaces with interesting geometric features.  

We shall focus on Section 3 of [Szek24], showing that the metric completion of a constant scalar curvature Kähler (cscK) approximable K-E space is a non collapsed quasi-smooth RCD space, and that the corresponding singular K-E metric is a Kähler current.

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