Lessons from the Black Hole Information Problem

Hawking's information puzzle offers a unique perspective on how the effects of quantum gravity are imprinted on the low energy limit of the theory. Crucially, unitarity of black hole evaporation demands that the entropy of Hawking radiation follows a Page curve. In this talk, I aim to give a pedagogical introduction to the information problem and explain how holography motivates a gravitational prescription of computing the fine-grained entropy of radiation. Equipped with a better definition of entropy, we shall see how the tensions around the information paradox are resolved. Time permitting, I will emphasise the key role islands and replica wormholes play in this process.