## Speaker:

Daniel Stern

## Institution:

University of Toronto

## Time:

Tuesday, February 18, 2020 - 4:00pm

## Host:

## Location:

RH 306

We'll discuss a new technique for relating scalar curvature bounds to the global structure of 3-dimensional manifolds, exploiting a relationship between the scalar curvature and the topology of level sets of harmonic functions. We will describe several geometric applications in both the compact and asymptotically flat settings, including a simple and effective new proof (joint with Bray, Kazaras, and Khuri) of the three-dimensional Riemannian positive mass theorem.