Seminars & Colloquia Calendar

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Number Theory Seminar

Polytopal Apollonian packings and knots

Ivan Rasskin (Montpellier)

Location:  Zoom
Date & time: Tuesday, 19 April 2022 at 2:00PM - 3:00PM

Abstract: In this talk, I will discuss several aspects of a well-known generalization of Apollonian packings through polytopes. First, I will talk about the uniqueness of this kind of packings under Möbius transformations and I will present a new generalization of Descartes' Theorem for every polytopal Apollonian packing constructed from a regular polytope. Then, I will show a method to extract polyhedral Apollonian circle packings from polytopal Apollonian sphere packings where the integrality structure is preserved. Finally, we will see how the geometry of the orthoplicial Apollonian packing can be used to obtain new results in Knot Theory.

For zoom information please email chris.lutsko [at]

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