@inproceedings{4c009bd0f1dc4b9c8f951a3055105555,
title = "The mathematical analysis of black holes in general relativity",
abstract = "The mathematical analysis of black holes in general relativity has been the focus of considerable activity in the past decade from the perspective of the theory of partial differential equations. Much of this work is motivated by the problem of understanding the two celebrated cosmic censorship conjectures in a neighbourhood of the Schwarzschild and Kerr solutions. Recent progress on the behaviour of linear waves on black hole exteriors as well as on the full non-linear vacuum dynamics in the black hole interior puts us at the threshold of a complete understanding of the stability-and instability-properties of these solutions. This talk will survey some of these developments.",
keywords = "Black holes, Cosmic censorship, Einstein equations, General relativity",
author = "Mihalis Dafermos",
note = "Publisher Copyright: {\textcopyright} ICM 2014.All rights reserved.; 2014 International Congress of Mathematicans, ICM 2014 ; Conference date: 13-08-2014 Through 21-08-2014",
year = "2014",
language = "English (US)",
series = "Proceeding of the International Congress of Mathematicans, ICM 2014",
publisher = "KYUNG MOON SA Co. Ltd.",
pages = "747--772",
editor = "Jang, {Sun Young} and Kim, {Young Rock} and Dae-Woong Lee and Ikkwon Yie",
booktitle = "Invited Lectures",
}