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On the mass of asymptotically hyperbolic manifolds

Connections for Women: Mathematical General Relativity September 03, 2013 - September 04, 2013

September 04, 2013 (02:15 PM PDT - 02:45 PM PDT)
Speaker(s): Anna Sakovich (Uppsala University)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC


Abstract We will review the notion of mass for asymptotically hyperbolic manifolds, and discuss the respective positive mass conjecture and Penrose conjecture. We will also address the nearly equality case of the positive mass theorem: if the mass is small, can we say that the metric is close to the hyperbolic metric in some sense? A part of the new results to be presented comes from joint work with Mattias Dahl and Romain Gicquaud.
18955?type=thumb Sakovich 23.8 MB application/pdf Download
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