# Stephen McCormick: The Riemannian Penrose inequality with electric charge with a quasi-local perspective

**Time: **
Tue 2022-10-25 10.15 - 11.15

**Location: **
Room 3418, Lindstedtsvägen 25

**Language: **
English

**Participating: **
Stephen McCormick, KTH

The Riemannian Penrose inequality provides a lower bound on the ADM mass of an asymptotically flat manifold with nonnegative scalar curvature in terms of the area of an outermost closed minimal surface in the manifold. The motivation for this inequality comes from physical considerations related to the final state conjecture, but is sometimes viewed simply as a comparison between the total mass of the spacetime and the irreducible mass of a black hole it contains. In this talk we will review these heuristics with the aim to explore what one should and should not expect to hold when searching for generalisations. We will then discuss a classical Riemannian Penrose inequality that accounts for electric charge, a quasi-local Riemannian Penrose inequality for the Brown—York mass, and finally some recent work of Po-Ning Chen and myself on an inequality that both is quasi-local and accounts for electric charge.