The Feynman Propagator and Self-Adjointness

Explore wave operators on Lorentzian manifolds in this 59-minute General Relativity seminar presented by Stanford's Andras Vasy at Harvard CMSA. Delve into the Feynman and anti-Feynman inverses, examining their natural properties from a microlocal analysis perspective compared to standard causal inverses. Learn how these inverses relate to the spectral family of wave operators when dealing with non-real spectral parameters, and discover their connection to wave operator self-adjointness and resulting positivity properties.