Isoperimetric and Geometric Inequalities for the Magnetic Laplacian

This seminar talk by Luigi Provenzano from Sapienza Università di Roma explores isoperimetric and geometric inequalities for the magnetic Laplacian as part of the "Spectral Geometry in the clouds" seminar series. Discover the analysis of eigenvalues of the magnetic Laplacian on bounded domains of R² with uniform magnetic field β greater than 0 and magnetic Neumann boundary conditions. Learn about upper and lower bounds for the ground state energy λ1 and a reverse Faber-Krahn inequality for simply connected domains. The presentation is based on joint research with Bruno Colbois (Université de Neuchâtel), Corentin Léna (Università degli Studi di Padova), and Alessandro Savo (Sapienza Università di Roma).