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Explore a thought-provoking lecture on the quantum complexity approach to weak cosmic censorship. Delve into the motivations behind this conjecture, which posits that singularities resulting from gravitational collapse are always hidden behind event horizons. Discover why the standard classical formulation of this conjecture fails, and learn about a partial quantum analogue that can be proven using complexity theoretic arguments. Join MIT's Netta Engelhardt as she navigates through the intricate connections between quantum complexity, quantum PCP, area laws, and quantum gravity in this illuminating talk from the Simons Institute.