Maciej Maliborski: Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder

Speaker
Maciej Maliborski, University of Vienna

Abstract
We investigate time-periodic solutions of the cubic conformal wave equation on the Einstein cylinder as a step toward understanding analogous structures in the Einstein equations with a negative cosmological constant. Using a combination of numerical and perturbative techniques, we discover a rich and intricate bifurcation pattern of time-periodic solutions, providing new insights into the nonlinear dynamics of this system. This is joint work with Filip Ficek.