HJB, MFG and others

This year's lecture covered a range of issues relating to Hamilton-Jacobi-Bellman equations, systems from medium-field game theory (MFG for short) and stochastic Hamilton-Jacobi equations. The mathematical questions introduced and studied in the lecture have their origins in mathematical models in stochastic control and mean-field game theory used in a variety of fields (telecommunications networks, economics, materials science, etc.)