# Stephen McCormick: Gluing collars to manifolds; how and why

**Time: **
Thu 2019-11-28 11.00 - 12.00

**Lecturer: **
Stephen McCormick, Uppsala University

**Location: **
Seminar Hall Kuskvillan, Institut Mittag-Leffler

### Abstract

We review a procedure to glue together Riemannian manifolds with non-negative scalar curvature by first attaching a small "collar" to the manifold. We will then review some applications of this construction to problems related to the Bartnik mass and a geometric inequality in general relativity.

This is based on joint work with Armando Cabrera Pacheco, Carla Cederbaum, and Pengzi Miao.