Explore the intricacies of spectral theory in stationary spacetimes in this advanced mathematics lecture delivered by Alexander Strohmaier at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the third installment of a series on this complex topic, presented as part of the Thematic Programme on "Spectral Theory and Mathematical Relativity." Over the course of 55 minutes, gain insights into cutting-edge research at the intersection of mathematical physics and relativity theory, expanding your understanding of advanced concepts in spectral analysis within the context of stationary spacetime models.