Strong Cosmic Censorship Versus Λ - IPAM at UCLA

Explore the fundamental open problem of strong cosmic censorship in classical general relativity through this 40-minute conference talk by Mihalis Dafermos of Princeton University. Delve into the challenges posed to the conjecture by rotating black holes and the unexpected impact of a non-zero cosmological constant. Examine the intricate mechanisms that support the conjecture's validity, including subtle aspects of black hole scattering theory and, surprisingly, number theory in the case of negative cosmological constant. Gain insights into the Schwarzschild solution, blue shift and dispersion phenomena, and the implications of positive cosmological constant. Analyze the linear formulation, sustainable formulation, and the interplay between rough and smooth elements in this complex problem. Evaluate whether strong cosmic censorship can withstand the challenge of non-zero Λ and understand its implications for the deterministic nature of general relativity.

Introduction
Schwarzschild
Strong cosmic censorship
Blue shift and dispersion
Theorem
Positive Cosmological Constant
Exponential Decay
Sustainable formulation
Linear formulation
Restoring validity
What has happened
The rough with the smooth
Summary
Censorship stronghold
What happened here
Conclusion