Dynamics and Analysis Seminar, David Constantine (Wes): 'Volume near standard anti-de Sitter 3-manifolds'

Tuesday, November 11, 2014
12:00 PM - 1:00 PM (ET)
ESC 638
Event Type
Academic Calendar
David Constantine, x2168
Math CS DnA Seminar

Abstract: Anti-de Sitter manifolds are the Lorentzian analogues of hyperbolic manifolds. In dimension 3, there is an interesting moduli space of compact AdS 3-manifolds, which is still not well understood. In this talk I'll introduce anti-de Sitter manifolds, and describe what's known about the compact examples. Then I'll present a first result on a very basic question: What are the volumes of these manifolds? Almost nothing is known about this question. I will show volume is not constant and characterize its behavior near the 'standard' AdS 3-manifolds. If time permits, I'll speak briefly on some further questions in this direction.

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