The Feynman propagator and self-adjointness

András Vasy (Stanford U)

Jul 11. 2023, 09:00 — 09:50

In this talk I will discuss the Feynman and anti-Feynman inverses for wave operators on certain Lorentzian (and more generally pseudo-Riemannian) 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. (Based in part on joint work with Dang, Gell-Redman, Haber and Wrochna.)



Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Spectral Theory and Mathematical Relativity (Thematic Programme)
Piotr T. Chruściel (U of Vienna)
Peter Hintz (ETH Zurich)
Alexander Strohmaier (U Leeds)
Steven Morris Zelditch † (Northwestern U Evanston)