Breadcrumb

Apollonian circle packings, fractal geometry and dynamics

Mon 25 March 2013, 16:00

Hee Oh
Brown University

Distinguished Lecture Series

Organiser: Tim Browning

ABSTRACT
Colloquium lecture with wine reception, 5-7pm.
[Venue: Chemistry Lecture Theatre 2]

Apollonian packings are circle packings in the plane constructed from three mutually tangent circles via an old theorem of Apollonius of Perga (262-190 BC). They give rise to one of first examples of a fractal in the plane. We discuss recent results on counting and distribution
of circles in Apollonian packings in fractal geometric terms and explain how the dynamics of Kleinian groups are related.