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Member Seminar: Discontinuous Motions of limit sets October 11, 2016 (11:00 AM PDT - 12:00 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Mahan Mj (Tata Institute of Fundamental Research)
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It is well known, thanks to work of Mane-Sad-Sullivan  that for a parametrized family of quasifuchsian groups (or equivalently convex cocompact discrete surface subgroups of PSl(2,C)) the limit set moves holomorphically on the Riemann sphere. We shall discuss what happens when a sequence of such groups converges to a non-quasifuchsian group. A discontinuity phenomenon was discovered in joint work with Caroline Series. In further work with Ken'ichi Ohshika, we characterize when precisely these discontinuities arise.

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