ANU Futures Workshop: Recent Progress of Harmonic Analysis in General Relativity and Quantum Information

A workshop introducing researchers with some background in harmonic analysis and dispersive partial differential equations to some open problems in general relativity and quantum information.

Recently, there have been some remarkable breakthroughs of harmonic analysis techniques in general relativity and quantum information. As some featured examples, we refer to a result in 2021 of Hintz and Vasy and now in 2025 of Hintz, Petersen, and Vasy, in proving global nonlinear stability of Kerr-de Sitter spacetimes, extending Fourier-harmonic analytic methods into nonlinear geometric PDES, and the solution of the L2 curvature conjecture for the Einstein Equations by Klainerman, Rodnianski, and Szeftel.