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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: SLMath: Eisenbud Auditorium



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
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