Explore the Lorentzian scattering rigidity problem and rigidity of stationary metrics in this 54-minute conference talk by P. Stefanov from Purdue University. Delve into analytic techniques in Dynamics and Geometry, covering topics such as the scattering rigidity problem, compound energy, graph of S transformations, and the linearized problem. Examine stationary metrics, natural transformations, and magnetic systems. Investigate generalized and nonlinear problems related to the main theorem. Gain insights into this complex mathematical subject through a comprehensive exploration of its key concepts and applications.