The Feynman Propagator and Self-Adjointness in Wave Operators - Lecture

Explore a 54-minute conference talk on the Feynman propagator and self-adjointness, delivered by András Vasy as part of the Thematic Programme on "Spectral Theory and Mathematical Relativity" at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Delve into the discussion of Feynman and anti-Feynman inverses for wave operators on Lorentzian and pseudo-Riemannian manifolds, examining their significance in microlocal analysis compared to standard causal inverses. Discover how these inverses relate to the spectral family of the wave operator when the spectral parameter is non-real. Investigate the connection between these concepts and the self-adjointness of the wave operator, along with the resulting positivity properties. Learn about the collaborative research underlying this presentation, involving work with Dang, Gell-Redman, Haber, and Wrochna.