String Theory Journal Club

Growth of Young diagrams is an important topic of study in asymptotic representation theory. In this seminar, we will talk about a matrix model description of growth processes of Young diagrams. In particular, we will see that the Plancherel growth process and its generalisations can be described through unitary matrix models. The classical solutions of unitary matrix models capture the asymptotic behaviour of Young diagrams growing according to (q-deformed) Plancherel probability. We will also talk about a Hilbert space description of unitary matrix models and Young diagrams.