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Rigidity for planes in hyperbolic $3$-manifolds and slices of Sierpinski carpets

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Curtis McMullen
Harvard University
Thu, 2018-07-05 15:00 - 15:50
MPIM Lecture Hall

Ratner and Shah showed that every immersed plane in a compact hyperbolic 3-manifold is either closed or dense.  We discuss the extent to which this rigidity persists for hyperbolic 3-manifolds of infinite volume.  The topological type of the 3-manifold plays a decisive role.  Joint work with A. Mohammadi and H. Oh.

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