Chaos along renormalization group flows

Renormalization group (RG) flows determine how the physics of a system depends on the length scale in which it is being probed. This is a fundamental concept in our understanding of any physical system. I will study how quantum chaos develops across different length scales in the Sachdev-Ye-Kitaev (SYK) model - a model of fermions with random couplings.  The model is special in that it is strongly coupled, chaotic and yet exactly solvable in certain limits.  The SYK model has gained significant interest in the past few years, both in the condensed matter community where it is proposed for modeling strange metal behavior and in high energy physics where it is proposed as a model for quantum gravity. I will explain how chaos develops across different length scales in the model. Time permitting, I will explain the relation of these results to black holes and quantum gravity.