# Greg Galloway: Existence of CMC Cauchy surfaces and spacetime splitting

**Time: **
Thu 2019-10-17 11.00 - 12.00

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

**Participating: **
Greg Galloway, University of Miami

### Abstract

As is well known, constant mean curvature (CMC) spacelike hypersurfaces play an important role in the study of the Einstein equations. In this talk, we discuss results (older and more recent) on the existence (and nonexistence) of CMC spacelike hypersurfaces in the cosmological setting, and discuss the connection to the spacetime splitting problem. This talk is based on a contribution to a special issue of PAMQ in honor of Robert Bartnik, and involves joint work with Eric Ling.