Recent advances in understanding non-perturbative corrections in quantum gravity have led to remarkable breakthroughs, particularly in addressing longstanding puzzles such as the black hole information paradox. In this series of minilectures, I will explore these corrections through the lens of JT (Jackiw-Teitelboim) gravity, a tractable model of two-dimensional dilaton gravity. Using this framework, I will demonstrate how the non-perturbative contributions to the gravitational path integral enable us to reproduce a version of the Page curve. The discussion will extend, at least briefly, to higher-dimensional black holes, including an examination of the "island" formula for computing entanglement entropy. Time permitting, I will apply similar techniques to analyze the factorization puzzle and the firewall paradox.

Inviter

Gang Yang