Explore the fascinating world of Liouville quantum gravity (LQG) in this 42-minute lecture presented by Jian Ding, Julien Dubedat, and Ewain Gwynne at the International Mathematical Union. Delve into the construction of the LQG metric, a distance function that can be applied to these canonical random fractal surfaces. Gain insights into the properties of this metric and discover open problems in the field. Enhance your understanding of this complex topic with the accompanying presentation slides, which provide visual aids and additional information to complement the lecture.