“A controlled excursion into the Hamilton Jacobi equation: from classics to mean field models”
Thursday 19 June 2025 h. 15:30 - Room 2BC30 - Giacomo Ceccherini Silberstein (Padova, Dip. Mat.)
Abstract
Optimal control theory is a branch of Calculus of Variations aiming to guide efficiently a system to achieve a specific goal, minimizing a given “cost” along the way. In this seminar, we’ll embark on a controlled excursion into the Hamilton-Jacobi equation, a powerful partial differential equation that encodes optimality conditions for this variational problem.
We will start by presenting the classical Euclidean setting, where the system’s state space is finite-dimensional and familiar. Then, we’ll extend these fundamental ideas to the more complex mean field setting, where the dynamics play out on the space of probability measures, allowing us to understand collective behaviors in large systems.
The video of the seminar will appear shortly afterwards in this Mediaspace channel.
