General Relativity, Differential Geometry and Differential Equations; Stories From a Successful Menage-a-trois

授课人:Niky Kamran

机构:Pacific Institute for the Mathematical Sciences(PIMS)

关键词: Scientific;    General Relativity and Cosmology;    Physics;   

加拿大|英语

【 摘 要 】

N.B. Due to problems with the microphone, the audio quality of this video is significantly lower than expected.It is well known that Einstein's general theory of relativity provides a geometrical description of gravity in terms of space-time curvature. Einstein's theory poses some fascinating and difficult mathematical challenges that have stimulated a great deal of research in geometry and partial differential equations. Important questions include the well-posedness of the evolution problem, the definition of mass and angular momentum, the formation of black holes, the cosmic censorship hypothesis, the linear and non-linear stability of black holes and boundary value problems at conformal infinity arising in the analysis of the AdS/CFT correspondence. I will give a non-technical survey of some significant advances and open problems pertaining to a number of these questions.

【 授权许可】

CC BY-NC-ND   
Except where explicitly noted elsewhere, the works on this site are licensed under a Creative Commons License: CC BY-NC-ND