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Seminar

GSA Seminar: "Degeneration of conic Kähler-Einstein metrics" December 11, 2024 (11:00 AM PST - 12:00 PM PST)
Parent Program:
Location: SLMath: Online/Virtual, Baker Board Room
Speaker(s) Henri Guenancia (Institut de Mathématiques de Bordeaux)
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Keywords and Mathematics Subject Classification (MSC)
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Video

Degeneration of conic Kähler-Einstein metrics

Abstract/Media

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I will report on a joint work with Olivier Biquard. We show that given a Fano manifold X and a smooth divisor D satisfying suitable conditions, one can construct positively curved Kähler-Einstein metrics with cone singularities along D which, after rescaling,  converge to the complete Ricci flat Tian-Yau metric on X\D when the cone angle approaches its critical value.

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Degeneration of conic Kähler-Einstein metrics