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Convergence of quasifuchsian hyperbolic 3-manifolds

Dynamics on Moduli Spaces April 13, 2015 - April 17, 2015

April 13, 2015 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Richard Canary (University of Michigan)
Location: MSRI: Simons Auditorium



Thurston's Double Limit Theorem provided a criterion ensuring convergence, up to subsequence, of a sequence of quasifuchsian representations. This criterion was the key step in his proof that 3-manifolds which fiber over the circle are geometrizable.  In this talk, we describe a complete characterization of when a sequence of quasifuchsian representations has a convergent subsequence.  Moreover, we will see that the asymptotic behavior of the conformal structures determines the ending laminations and parabolic loci of the algebraic limit and how the algebraic limit ``wraps'' inside the geometric limit. (The results described are joint work with Jeff Brock, Ken Bromberg, Cyril Lecuire and Yair Minsky.)

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H.264 Video 14213.mp4 380 MB video/mp4 rtsp://videos.msri.org/data/000/023/270/original/14213.mp4 Download
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