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Seminar

Stable degenerations of singularities

Speaker
Ziquan Zhuang (Johns Hopkins, Clay Math. Inst.)
Date
Thu, Oct 10 2024, 4:30pm
Location
380Y
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Around 10 years ago, Donaldson and Sun discovered that metric limits of Ricci positive Kähler–Einstein manifolds are algebraic varieties, and their metric tangent cones also underlie some algebraic structure. I will talk about a general algebraic geometry theory behind this phenomenon. In particular, I will survey the recent solution of Li-Xu's Stable Degeneration Conjecture, which predicts that every mild singularity on a complex algebraic variety has a canonical degeneration that shares many features of the metric tangent cones.