Geometry and Topology Seminar - Pei-Ken Hung - Toroidal positive mass theorem

Description

Speaker: Pei-Ken Hung (University of Minnesota)

Title: Toroidal positive mass theorem

Abstract: We establish the positive mass theorem for 3-dimensional asymptotically hyperboloidal initial data sets with toroidal infinity. In the umbilic case, a rigidity statement is proven showing that the total mass vanishes precisely when the initial data manifold is isometric to a portion of the canonical slice of the associated Kottler spacetime. Furthermore, we provide a new proof of the recent rigidity theorems of Eichmair-Galloway-Mendes in dimension 3, with weakened hypotheses in certain cases. These results are obtained through an analysis of the level sets of spacetime harmonic functions. This is a joint work with Aghil Alaee and Marcus Khuri.

Location: Virtual, Zoom

Link: https://us04web.zoom.us/j/6376746854pwd=VUtFbHRyeitvT3BnUVZzOEl1VGtVZz09

ID: 637 674 6854

Passcode: Topology
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