Zoom Link: https://ucph-ku.zoom.us/j/69937085835


Password: 123456

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.