Seminarium KMMF "Teoria Dwoistości"

In this talk, I will present, in a geometric framework, the Hamilton–Jacobi equations for a large variety of mechanical systems. In the first part of the talk, I will show the classical theory for Hamiltonian systems on a cotangent bundle and its relationship with the integrability of these systems. In the second part of the talk, we will see recent developments in the framework of general Poisson, almost-Poisson, contact manifolds and its relation with the integrability by quadrature. Several examples will illustrate the theory. To attend our online seminar, please use the Zoom identificator: https://us02web.zoom.us/j/8145917621?pwd=bVVKend0SHFKNUNyUUQ4cWNRK3laZz09