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Critical collapse in 2+1 gravity

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Starting with the work of Choptuik ‘92, numerical relativity predicts that naked singularity spacetimes arise on the threshold of non-collapse and black hole formation, a phenomenon referred to as critical collapse. In this talk, I will present for 2+1 gravity the first rigorous construction of threshold naked singularities in general relativity. Joint work with Igor Rodnianski (Princeton University).

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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