Karoly Boroczky


Almost optimal packings of equal spheres in dimensions 8 and 24

The talk discusses how methods from Fourier analysis, Number Theory, Linear Algebra and Discrete Geometry lead to better understanding of dense packings of equal spheres in the 8 and 24 dimensional Euclidean space. I review the path leading to Maryna Viazovska's groundbreaking results concerning densest packings including contributions by Kepler, Lagrange, Gauss, Thue, Laszlo Fejes Toth, Cohn, and describe the structure of almost optimal packings. The latter is a joint result with Danylo Radchenko and Joao Ramos.