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京东 11.11 红包
2024 AGSS Lecture 5.3 Ziquan Zhuang
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Speaker: Ziquan Zhuang (Johns Hopkins University) Title: Stability and boundedness of klt singularities Abstract: Donaldson and Sun showed that smoothable Kahler-Einstein Fano varieties have algebraic metric tangent cones, and they conjectured that these metric tangent cones only depend on the algebraic structure of the singularities. I'll talk about a local K-stability theory of singularities developed in the past few years that proves Donaldson-Sun's conjecture and goes beyond. The first two lectures will focus on a generalization of Donaldson-Sun's conjecture called the Stable Degeneration Conjecture, while the last lecture will be about the boundedness of singularities.
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