This is video of a seminar I gave at the University of Sussex. Slides.
Has Hawking's Black Hole Information Paradox Been Resolved? Quantum Hair and Black Hole Information
Abstract: In 1976 Stephen Hawking argued that black holes cause pure states to evolve into mixed states. Put another way, quantum information that falls into a black hole does not escape in the form of radiation. Rather, it vanishes completely from our universe, thereby violating a fundamental property of quantum mechanics called unitarity. I give a pedagogical introduction to this paradox, suitable for non-experts. Then I discuss recent results concerning the quantum state of the gravitational field of a compact matter source. These results demonstrate the existence of quantum hair, violating the classical No Hair Theorems. I then discuss how this quantum hair affects Hawking radiation, allowing unitary evaporation of black holes.
See this related blog post: Has Hawking's Black Hole Information Paradox Been Resolved?
In the talk I mention an introductory colloquium on the history of black holes and the connection to entropy and information. See slides.