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Explore advanced topics in general relativity through this comprehensive seminar series featuring leading researchers presenting cutting-edge work in gravitational physics, black hole mechanics, and cosmological spacetimes. Delve into hyperbolic equations in double null gauge, positive mass theorems for toric manifolds, and low-regularity solutions of elastic wave systems. Examine unstable fluids in expanding cosmologies, positive scalar curvature with point singularities, and BKL bounces outside homogeneity. Investigate the stability and instability of relativistic fluids in slowly expanding spacetimes, past maximal development of near-FLRW data for Einstein scalar-field Vlasov systems, and the Einstein-Vlasov system in large data regimes. Study real-time observables in horizon thermodynamics, axially symmetric perturbations of Kerr black hole spacetimes, and characteristic initial value problems for compressible Euler equations. Learn about quasi-local mass in general relativity, the Feynman propagator and self-adjointness, and remarkable symmetries of rotating black holes. Discover fluid stabilization in slowly expanding cosmological spacetimes, memory resolution in numerical relativity, and BMS frame fixing for modeling. Explore tidal squeezing of black holes, smooth horizons without smooth horizons, and geometry at strong coupling for amplitudes and Wilson loops. Examine quantization of causal diamonds in 2+1 dimensional gravity, pole skipping and quasinormal modes, and their connection to chaos. Investigate gravitational wave testing of general relativity, localized seed-to-solution methods for Einstein constraints, and photon ring resolution. Study gravitational perturbations near extreme Kerr black holes, new phases of N=4 SYM, and pseudospectrum analysis of black hole quasinormal mode instability. Analyze trapped surface formation in Einstein-Yang-Mills systems, quasinormal modes from Penrose limits, and near extremal de Sitter black holes in JT gravity. Test spacetime geometry with supermassive compact object images, explore nonlinear stability of slowly-rotating Kerr-de Sitter spacetimes, and examine Schwarzschild-like topological solitons in gravity.
