University of Birmingham > Talks@bham > Analysis Seminar > Sphere packings and the uncertainty principle

Sphere packings and the uncertainty principle

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If you have a question about this talk, please contact Yuzhao Wang.

The sphere packing problem asks for a densest packing of congruent solid spheres in $d$-dimensional Euclidean space $\mathbb{R}^d$. Until very recently, optimal sphere packings were only known in dimensions 1, 2 and 3. On March 14, 2016, Maryna Viazovska announced a proof in dimension $d=8$ which stirred the world of mathematics. In this talk, we will give a brief survey of the sphere packing problem, highlight some of the analytic tools that have led to progress in the field, discuss some of the novel ingredients in Viazovska’s proof, and establish some connections to related extremal problems in Fourier analysis.

This talk is part of the Analysis Seminar series.

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