Black Hole Informatics
Hawking's black hole information paradox is a subject of long-standing debate that has inspired radical ideas about the interplay between gravity and quantum physics at a fundamental level. I will review the formulation of the paradox in the context of a semiclassical effective field theory of gravity and briefly appraise some proposed resolutions. The remainder of the lecture will focus on a holographic view of black holes provided by a gravity theory with a gauge theory dual. The paradox must then be resolved in favour of unitary evolution and the challenge is to implement unitarity on the gravity side of the duality. Recent progress on this front, involving generalised entropy and entanglement islands, will be briefly discussed at the end.