Interaction between singularity theory and the minimal model program

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We survey some recent topics on singularities, with a focus on their connectionto the minimal model program. This includes the construction and properties of dualcomplexes, the proof of the ACC conjecture for log canonical thresholds and the recent progress on the 'local stability theory' of an arbitrary Kawamata log terminalsingularity.

Original languageEnglish (US)
Title of host publicationInvited Lectures
EditorsBoyan Sirakov, Paulo Ney de Souza, Marcelo Viana
PublisherWorld Scientific Publishing Co. Pte Ltd
Pages825-848
Number of pages24
ISBN (Electronic)9789813272910
StatePublished - 2018
Externally publishedYes
Event2018 International Congress of Mathematicians, ICM 2018 - Rio de Janeiro, Brazil
Duration: Aug 1 2018Aug 9 2018

Publication series

NameProceedings of the International Congress of Mathematicians, ICM 2018
Volume2

Conference

Conference2018 International Congress of Mathematicians, ICM 2018
CountryBrazil
CityRio de Janeiro
Period8/1/188/9/18

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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