On the Feynman propagator on curved spacetimes
The Feynman propagator is one of the main tools of Quantum Field Theory. I will review various definitions of this concept, including the operator-theoretic and out-in Feynman propagator. I will discuss various examples of spacetimes: stationary, asymptotically stationary, FLRW, de Sitter and anti-de Sitter. I will consider both the stable and tachyonic case. Based on joint work with Christian Gass.