Explore a 59-minute lecture from the Fields Institute's Workshop on Noncommutative Geometry, Free Probability Theory and Random Matrix Theory. Delve into the intricacies of x-y symmetry in Topological Recursion through the lens of the loop insertion operator. Join Alexander Hock from the University of Oxford as he presents his research and insights on this complex mathematical topic. Gain a deeper understanding of the intersection between noncommutative geometry, free probability theory, and random matrix theory in this advanced mathematical discourse.