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Maria Dostert: A Semidefinite Programming Bound for the Average Kissing Number

Time: Wed 2021-02-24 10.15 - 11.15

Location: Zoom meeting ID: 654 5562 3260

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Abstract: Any packing of finitely many balls in \(\mathbb{R}^n\) has a contact graph, in which the vertices are the balls and two vertices are adjacent if the balls touch. The average kissing number of \(\mathbb{R}^n\) is the supremum of the average degrees of contact graphs of packings of finitely many balls (of any radii) in \(\mathbb{R}^n\). I will describe a semidefinite programming approach which provides the best upper bounds for the average kissing number in dimensions 3, ..., 9. (Joint work with Alexander Kolpakov and Fernando Mário de Oliveira Filho.)

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Zoom meeting ID: 654 5562 3260