Bouncing off a Stringy Singularities

In AdS/CFT, the black hole singularity is encoded as a divergence in a certain analytic continuation of the two-point function. This divergence corresponds to a null geodesic that bounces off the singularity. In this talk, we will study the fate of this null geodesic at finite 't Hooft coupling, finding that it is smoothed out by stringy effects in the example of the SYK model. I will then explain how this computation is related to classical dynamical systems. Finally, I will comment on  the generalization of this computation to matrix quantum mechanics.