Recent sphere-packing successes

Recent sphere-packing successes

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Matthew de Courcy-Ireland, Princeton University
Fine Hall 322

We will discuss how to arrange non-overlapping, equal-sized spheres so as to cover the greatest possible fraction of Euclidean space of a fixed dimension. We hope especially to outline the spectacular breakthrough of Viazovska in 8 dimensions and the solution one week later in 24 dimensions by herself with Cohn, Kumar, Miller, and Radchenko.