Date/heure
10 novembre 2025
15:30 - 16:30
Oratrice ou orateur
Manuel Dias
Catégorie d'évènement Séminaire de géométrie différentielle
Résumé
The symmetrized Asymptotic Mean Value Laplacian \tilde{\Delta}, is obtained as limit of approximating integral operators \tilde{\Delta}_r, and is an extension of the classical Euclidean Laplace operator to the realm of metric measure spaces. We show that in the limit as r->0, as the operators eventually admit isolated eigenvalues defined via min-max procedure on any compact uniformly locally doubling metric measure space. Then we prove L^2 and spectral convergence of \tilde{\Delta}_r to the Laplace-Beltrami operator of a compact Riemannian manifold, imposing Neumann conditions when the manifold has a non-empty boundary.