Explore the mathematics behind the stable marriage problem in this 45-minute public lecture webcast by Emily Riehl, associate professor at Johns Hopkins University. Delve into the solution, its sexist implications, and real-world applications. Learn about the deferred acceptance algorithm, stable roommates problem, and theorems related to stable marriages. Discover how these concepts apply to polyamorous dating and medical match strategies. Gain insights from Riehl's expertise in higher category theory and homotopy theory as she presents this fascinating mathematical topic at the Perimeter Institute for Theoretical Physics.