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Renormalized volume of half-bounded regions in Einstein spaces

Mathematical Physics Seminar

Speaker: Stephen McKeown, UT Dallas
Location: 918 3509 0938 Zoom-o-verse
Start time: Fri, Apr 30 2021, 11:00AM

The renormalized volume of an asymptotically hyperbolic Einstein four-manifold is among its most important global invariants. We define renormalized volume for minimally bounded half-spaces, then prove a Gauss-Bonnet formula for the volume and compute its variation under variations of the minimal boundary. This is joint work with Matthew J. Gursky and Aaron J. Tyrrell.



Contact Andrew Waldron for zoomformation.