Team overview page 〉Details for: Gabriele Benedetti
Research interests:
Differential Geometry, Dynamical Systems, Calculus of Variations.
Short summary of current research:
I study the relationship between Symplectic Geometry and Hamiltonian Systems on manifolds. On the one hand, periodic orbits of Hamiltonian systems yield geometric invariants such as symplectic capacities and symplectic homology. On the other hand, using symplectic tools we can understand concrete Hamiltonian systems coming from physics, such as those describing the motion of charged particles in a magnetic field.