The Nonlinear Stability of Black Holes: An Overview

Explore the mathematical properties of black holes and their stability as solutions to the Einstein equation in this colloquium talk by Elena Giorgi from Columbia University. Gain insights into the recent proof of nonlinear stability for slowly rotating Kerr black holes, a joint work with Klainerman-Szeftel. Delve into the fundamental aspects of General Relativity and understand why black holes are considered crucial objects in our universe. The presentation offers a comprehensive overview of these fascinating cosmic phenomena, their mathematical intricacies, and the latest advancements in the field of black hole stability.