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.
Sobolev Spaces in Extended Metric-Topological Measure Spaces
Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube
Overview
Syllabus
Giuseppe Savaré - Sobolev spaces in extended metric-topological measure spaces
Taught by
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Related Courses
-
Plans, Derivations, and Currents in Metric Measure Spaces
-
Metric Geometry of Spaces of Persistence Diagrams
-
Unified Synthetic Ricci Curvature Lower Bounds for Riemannian and Sub-Riemannian Geometries
-
Looking for p-Energy Forms in Cheeger Spaces
-
Sharp Concavity of the Isoperimetric Profile Under Lower Ricci Bounds - Workshop on Synthetic Curvature Bounds
-
Riesz Transforms for Dirichlet Spaces Tamed by Distributional Curvature Lower Bounds
