Explore the concept of Steenbrink spectra in singularity categories through this 1-hour 7-minute lecture delivered by August Hozie from the University of Miami/IMSA. Delve into the significance of a singularity's spectrum as defined by Steenbrink, which encodes crucial analytic information and describes the Hodge filtration on the vanishing cycles. Examine various ways in which spectral numbers manifest in the triangulated singularity category associated with a singularity, gaining insights into this complex mathematical topic.