DnA Seminar

Tuesday, October 17, 2017
12:00 PM - 12:50 PM (ET)
Exley Science Center Tower ESC 638
Event Type
Canalia, Caryn

 Speaker: Thang Nguyen, NYU

 Title: Hyperbolic rank rigidity

 Abstract:  Motivated by the question about (Euclidean) rank rigidity, whether a closed nonpositively curved manifold with every geodesic locally contained in a flat is locally symmetric, we consider the question where flat is replaced by hyperbolic plane. The question about Euclidean rank rigidity was answered positive by Ballmann-Brin-Eberline and Burns-Spatzier in 80s'. For the later one, it has not been completely solved yet. It was achieved in many cases by Hamenstadt and Constantine. We give a positive answer for the case quarter-pinched manifolds, which we use different technique with the ones of Hamenstadt or Constantine. The main tool is from dynamics of Lyapunov distributions and a lemma by Foulon. I will talk about difficulty and ideas of proofs. This is a joint work with C. Connell and R. Spatzier.

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