Explore a comprehensive 56-minute lecture by Pierre Heidmann from Johns Hopkins University, USA, presented at the Galileo Galilei Institute. Delve into the intricacies of black hole puzzles and the supersymmetric paradigm. Examine solitons with extra compact dimensions and learn about solution generating techniques for Einstein equations. Investigate the electrostatic Ernst Formalism in 4d and its generalized form. Discover bubble bag ends and their implications. Analyze attempts to resolve the Schwarzschild solution through geometric resolution. Study gravitational lensing, imaging of topological solitons, and the gravitational wave signal. Gain insights into cutting-edge research in theoretical physics and astrophysics through this in-depth presentation.