Explore the third part of a lecture series on how topological recursion organizes quantum fields on noncommutative geometries, presented by Raimar Wulkenhaar from the University of Münster. Delve into advanced concepts in noncommutative geometry, free probability theory, and random matrix theory during this hour-long talk, which is part of the Workshop on Noncommutative Geometry, Free Probability Theory and Random Matrix Theory hosted by the Fields Institute. Gain insights into the intricate relationships between these mathematical fields and their applications in quantum physics.