I will give an overview of various recent developments in our understanding of quantum gravity and black holes. In particular, I will focus on (i) the chaotic nature of the quantum gravitational degrees of freedom, (ii) the statistical interpretation of semi-classical gravity and its connection to wormholes, and (iii) the possible role of computational complexity. I will try to connect all of this to famous questions like the information loss paradox and the experience of an infalling observer.
