| Abstract |
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The “local-to-global” conjecture for Apollonian circle packings was
disproved for certain packings. In this talk, I will outline the
basics of Apollonian circle packings, such as Descartes quadruples and
curvature obstructions. I will then discuss how the conjecture fails,
primarily the computational evidence and how quadratic reciprocity is
used in circle packings.
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