Differential Geometry Seminar: Scalar curvature, mass and the Bartnik conjectures

Seminar | February 27 | 1:10-2 p.m. | 939 Evans Hall

 Michael Anderson, Stony Brook

 Department of Mathematics

In the early 90's, Bartnik defined a localization (to finite regions) of the mass of complete asymptotically flat metrics on 3-manifolds with nonnegative scalar curvature. The Bartnik mass has a number of favorable properties. A deeper understanding of the mass requires the resolution of several conjectures posed by Bartnik, leading to interesting global problems in geometric PDE. We will discuss recent progress on these conjectures. Much of the talk is based on recent joint work with Jeff Jauregui.