The Stability of Black Holes with Matter

Explore the fascinating world of black hole stability in this 58-minute conference talk from the 2022 Virtual Joint Mathematics Meetings. Delve into the complex topic of "The Stability of Black Holes with Matter" as presented by Elena Giorgi from Columbia University. Learn about key concepts such as spacetime, light cones, and the Ashland equation. Discover explicit solutions, wave coordinates, and the underlying conjecture. Examine gravitational electromagnetic radiation and its kernel. Gain insights into this cutting-edge research area in mathematics and physics, suitable for those with a strong background in advanced mathematics and theoretical physics.

Introduction
Motivation
What is spacetime
Light cones
The ashland equation
Explicit solutions
Wave coordinates
The conjecture
Gravitational Electromagnetic Radiation
Kernel
Conclusion