Looking for p-Energy Forms in Cheeger Spaces

Explore the construction of p-energy forms in Cheeger spaces without relying on differential structures in this 47-minute conference talk from the Workshop on "Synthetic Curvature Bounds for Non-Smooth Spaces: Beyond Finite Dimension" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the motivation behind finding alternative methods to construct p-energy forms without using gradients. Examine the exploitation of characteristic features of Cheeger metric measure spaces, such as the doubling property and the (p,p)-Poincaré inequality with respect to Lipschitz functions. Gain insights into the standard Euclidean p-energy form and its associated operator, the p-Laplacian, which serves as the foundation for many problems in PDE. Learn about the collaborative research conducted with Fabrice Baudoin in this advanced mathematical exploration of non-linear forms in non-smooth spaces.