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Asymptotically hyperbolic Einstein manifolds and conformal geometry

Mathematical Physics Seminar

Speaker: Jie Qing, Santa Cruz
Location: 3024 PSEL/QMAP
Start time: Fri, Feb 18 2022, 11:00PM

In this talk we will start with Fefferman-Graham ambient spaces and the definitions of asymptotically hyperbolic Einstein manifolds. We will then introduce Mobius coordinate charts and some basic analysis on asymptotically hyperbolic manifolds. In the spirit of AdS/CFT correspondence, we will introduce scattering operators
and its relations to renormalized volumes on asymptotically hyperbolic Einstein manifolds. We will also report some recent work on the uniqueness and compactness of asymptotically hyperbolic Einstein manifolds.



https://ucdavis.zoom.us/j/94506910050