Existence and Confinement of Closed Magnetic Geodesics at Low Energies

Watch this short talk by Valerio Assenza from IMPA on "Existence and confinement of closed magnetic geodesics at low energies" presented at the Systolic and Diastolic Geometry event in Rio de Janeiro. The presentation explores geometric problems comparing volume of spaces with lengths/areas of curves/surfaces they contain. Part of a broader mathematical conference examining fundamental questions in Geometric Analysis and Symplectic Geometry, this talk contributes to discussions on topics like periodic orbits in convex billiards, geodesics on spheres, and Laplacian operator eigenvalues on surfaces. The event brought together specialists from different mathematical disciplines to advance research through innovative techniques inspired by analogies between these related problems.