The Feynman propagator and self-adjointness

12/05/2023 11:00 am - 12:00 pm

General Relativity Seminar

Speaker: Andras Vasy (Stanford)

Title: The Feynman propagator and self-adjointness

Abstract: In this talk I will discuss the Feynman and anti-Feynman inverses for wave operators on certain Lorentzian manifolds; these are two inverses which from a microlocal analysis perspective are more natural than the standard causal (advanced/retarded) ones. For instance, for the spectral family of the wave operator, these are the natural inverses when the spectral parameter is non-real. Indeed, I will explain that these connect to the self-adjointness of the wave operator, and the positivity properties that follow.