Interaction between singularity theory and the minimal model program – Chenyang Xu – ICM2018

Algebraic and Complex Geometry
Invited Lecture 4.5
Interaction between singularity theory and the minimal model program
Chenyang Xu

Abstract: We survey some recent topics on singularities, with a focus on their connection to the minimal model program. This includes the construction and properties of dual complexes, the proof of the ACC conjecture for log canonical thresholds and the recent progress on the ‘local stability theory’ of an arbitrary Kawamata log terminal singularity.

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