Sobolev Spaces in Extended Metric-Topological Measure Spaces

Explore the concept of Sobolev spaces in extended metric-topological measure spaces through this 59-minute lecture delivered by Giuseppe Savaré at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Delve into the general framework for metric Sobolev spaces, gaining insights into the construction and properties of the Cheeger energy. Learn about the collaborative work with Luigi Ambrosio and Matthias Erbar as part of the Workshop on "Synthetic Curvature Bounds for Non-Smooth Spaces: Beyond Finite Dimension" held at ESI in May 2024.