Interaction Between Singularity Theory and the Minimal Model Program

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.

20 pages. Submitted to 2018 ICM

References in corpus (1)

• On the semi-continuity problem of normalized volumes of singularities