Explore the fascinating intersection of high-dimensional expansion and error-correcting codes in this Hermann Weyl Lecture delivered by Irit Dinur from the Weizmann Institute of Science. Delve into various expansion constructions, including co-boundary and delta boundary expansions, and their applications in property testing. Examine the concepts of revolution complexes, link expansion, and complexes, and discover how these mathematical structures relate to coding theory. Gain insights from a visiting professor at the School of Mathematics of the Institute for Advanced Study as she unravels the intricate connections between these advanced topics in mathematics and computer science.