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Seminar

Reading Seminar on Kahler_Einstein metrics and RCD spaces, Lecture 2 October 18, 2024 (10:00 AM PDT - 12:00 PM PDT)
Parent Program: --
Location: SLMath: Eisenbud Auditorium
Speaker(s) Junsheng Zhang (University of California, Berkeley)
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Gabor, Section 4

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 4 of [Szek24], showing that metric completion of a cscK approximable K-E space is homeomorphic to the analytic completion, and that the singular metric set coincides with the analytic singular set, in particular it has codimension greater than 4.

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