Capacity in Low Regularity with Connections to General Relativity

Explore a 59-minute lecture on the generalization of capacity from Euclidean space to complete Riemannian manifolds and suitable metric spaces. Delve into recent research on understanding capacity in local integral current spaces, examining its behavior when background spaces converge in the pointed Sormani-Wenger intrinsic flat sense. Discover the connections between the main results and the concept of total mass in general relativity. Join Jeff Jauregui from Union College as he presents his joint work with Raquel Perales and Jim Portegies at the Institut des Hautes Etudes Scientifiques (IHES).