Asymptotic Representation Theory - Random Young Diagrams and Classical Groups

Watch a 32-minute BIMSA seminar exploring the asymptotic properties of representations in classical groups through the lens of random Young diagrams as two-dimensional landscapes. Delve into the mathematical analysis of how these diagrams' key asymptotic properties, including limit shape convergence and universal local behavior, manifest through the specific framework of skew Howe duality. Learn how these mathematical structures help understand the fundamental patterns emerging in representation theory as systems grow larger.