Connecting numbers with knots through polytopes and sphere packings

Abstract: How many spheres are needed to construct a closed knotted necklace? Behind this question lies a deep connection between geometric knot theory, sphere packings, polytopes and number theory. In this talk, we will see how these different theories are linked by describing a method for constructing sphere packings containing optimal knotted necklaces, which at the same time produces solutions of certain Diophantine equations. Based on joint works with Jorge Ramírez Alfonsín.

computational geometrydiscrete mathematicscommutative algebracombinatorics

Audience: researchers in the topic

Copenhagen-Jerusalem Combinatorics Seminar

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The password for the zoom room is 123456