Explore a 40-minute lecture on the absolute continuity of limiting spectral distributions of Toeplitz and Hankel random matrices. Delivered by Manju KRISHNAPUR from IIS, Bangalore, India, as part of the School and Workshop on Random Matrix Theory and Point Processes. Delve into key topics including an introduction to the subject, the main theorem, its generalization, and the proof. Examine topless matrices, random matrices, and the Hankel case. Gain insights into this complex mathematical concept through a structured presentation by an expert in the field.