Speaker
Manuel Dias
(Brussels)
Description
The symmetrized Asymptotic Mean Value (AMV) Laplacians extend the classical Laplace operator from Rn to metric measure spaces through suitable averaging integrals. I will present an overview of this Laplacian in different contexts, namely Riemannian manifolds Finsler manifolds and unions of manifolds and how it relates to other known Laplacians in this context. I will also go through results obtained with David Tewodrose (VUB) on the spectral properties of these operators on compact doubling metric measure spaces and manifolds with boundary.