Sobolev Spaces in Extended Metric-Topological Measure Spaces

Overview

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.

Syllabus

Giuseppe Savaré - Sobolev spaces in extended metric-topological measure spaces

Taught by

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Reviews

Start your review of Sobolev Spaces in Extended Metric-Topological Measure Spaces

Taught by

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

Sobolev Spaces on Metric Spaces - Lecture by Jun Kigami

Never Stop Learning.