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Geodesic planes in hyperbolic 3-manifolds

Advances in Homogeneous Dynamics May 11, 2015 - May 15, 2015

May 11, 2015 (01:30 PM PDT - 02:20 PM PDT)
Speaker(s): Hee Oh (Yale University)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC


The topic of my talk is what the possibilities are for the closure of a totally geodesic immersion of a hyperbolic plane into a complete hyperbolic 3 manifold.  For finite volume hyperbolic 3 manifolds, work of Shah and Ratner shows that strong rigidity properties hold: any such immersed plane is either closed or dense.  I will describe recent joint work with Curt McMullen and Amir Mohammadi  which shows some of this rigidity persists in some cases of infinite volume hyperbolic 3-manifolds

23516?type=thumb Oh.Notes 153 KB application/pdf Download
Video/Audio Files


H.264 Video 14232.mp4 301 MB video/mp4 rtsp://videos.msri.org/data/000/023/422/original/14232.mp4 Download
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