Seminars & Colloquia Calendar

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Conformal Dynamics: Julia sets, Kleinian groups, and Schwarz reflections

Mikhail Lyubich (Stony Brook)

Location:  zoom
Date & time: Wednesday, 31 March 2021 at 3:30PM - 4:30PM

We will discuss the interplay between three branches of Conformal
Dynamics: iteration of (anti-)rational maps, actions of Kleinian groups,
and dynamics generated by Schwarz reflections in quadrature domains. We
will show examples of Schwarz reflections obtained by matings between
anti-quadratic maps and the triangle modular group, and examples of Julia
realizations for Apollonian-like gaskets. Some of these examples can be
turned into others by means of a David surgery.

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