Abstract: The goal of the minisymposium is to illustrate the scientific progress recently made and to offer an overview of some emerging topics and recent developments in the area of optimal control of differential equations and differential games in the deterministic and stochastic framework. From a theoretical point of view, special emphasis will be put on necessary and sufficient conditions for optimality, sensitivity analysis, Hamilton-Jacobi equations, singular problems, numerical methods, linearization techniques and relaxation. The applications will cover (but may not be limited to) several problems emerging, for instance, in biology and economics. Furthermore, the minisymposium will focus on presenting some recent developments and future perspective in the field of tropical mathematics and idempotent analysis. One of the goals of the meeting will be to produce material presenting new methodologies, results, generalizations and potential developments. Particular focus will be on open problems and interactions with different fields (for example physics and economics). Topics to be discussed include: mathematical physics, mathematical programming methods, game theory, operation research and mathematical economics, geometry, pure mathematics.