On minimal Surface and eigenvalues isoperimetric inequalities.

Abstract: In the same way that geodesics are critical curves for the length fonctional in a Riemanniann Manifold, Minimal Surfaces are critical hypersurfaces for the area functional.

In 1996, a passionating connection have been made between Minimal Surfaces in low dimensional spheres, and extremal riemannian metrics for eigenvalues of the Laplace-Beltrami operator on Compact Riemannian Surfaces. The aim of this talk is to present such a connection, and some more recent extensions to more general eigenvalues problems.

analysis of PDEsclassical analysis and ODEsfunctional analysisprobabilityspectral theory

Audience: researchers in the discipline

Quebec Analysis and Related Fields Graduate Seminar