The resolution of the bounded L2 curvature conjecture in general relativity

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


This paper reports on the recent proof of the bounded L2 curvature conjecture. More precisely we show that the time of existence of a classical solution to the Einstein-vacuum equations depends only on the L2-norm of the curvature and a lower bound of the volume radius of the corresponding initial data set.

Original languageEnglish (US)
Title of host publicationInvited Lectures
EditorsSun Young Jang, Young Rock Kim, Dae-Woong Lee, Ikkwon Yie
PublisherKYUNG MOON SA Co. Ltd.
Number of pages19
ISBN (Electronic)9788961058063
StatePublished - 2014
Event2014 International Congress of Mathematicans, ICM 2014 - Seoul, Korea, Republic of
Duration: Aug 13 2014Aug 21 2014

Publication series

NameProceeding of the International Congress of Mathematicans, ICM 2014


Conference2014 International Congress of Mathematicans, ICM 2014
CountryKorea, Republic of

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


  • Bilinear estimates
  • Cauchy problem
  • Einstein equations
  • Null structure
  • Rough solutions

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