Topics in Mathematical General Relativity I

Explore the fundamental concepts and challenges in mathematical general relativity in this 75-minute lecture by Stefanos Aretakis from the University of Toronto. Delve into the cosmic censorship conjectures and examine various works supporting these theories. Gain insights into essential methods such as the double null foliation and short pulse method, and understand their applications in studying trapped surface formation, the Cauchy horizon, and the role of regularity in conjectures. Recorded as part of IPAM's Mathematical and Computational Challenges in the Era of Gravitational Wave Astronomy Tutorial, this presentation offers a comprehensive introduction to key topics in mathematical general relativity.