Spectrum and Evolution in Black Hole Non-Normal Dynamics - The Hyperboloidal Key

Explore the fundamental role of hyperboloidal schemes in analyzing black hole scattering dynamics through a non-normal operator theory perspective in this 27-minute conference talk. Discover how linear scattering on black holes can be reframed as a non-normal dynamics problem, opening new avenues for understanding spacetime evolution through non-modal analysis approaches. Learn about the theoretical framework that connects non-selfadjoint operators with black hole physics, and examine how this perspective complements traditional scattering theory while revealing characteristic non-normal effects in spacetime dynamics. Gain insights into cutting-edge mathematical tools from non-modal analysis and their applications to fundamental questions in black hole physics, presented as part of the Workshop on Hyperboloidal Foliations and their Applications.