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Special Colloquium

Self-Similarity and Naked Singularities for the Einstein Vacuum Equations

Yakov Shlapentokh-Rothman , Princeton University

Location:  Hill 705
Date & time: Wednesday, 29 January 2020 at 12:00PM - 1:00PM

Abstract: We will start with an introduction to the problem of constructing naked singularities for the Einstein vacuum equations. Then we will discuss our previous work on the asymptotically self-similar regime for the Einstein equations and the corresponding connection to the ``ambient metric'' of Fefferman and Graham. Finally, we will explain our discovery of a fundamentally new type of self-similarity and show how this allows us to construct solutions corresponding to the exterior region of a naked singularity. This is all joint work with Igor Rodnianski.