$\vec{w}h\alpha\mathfrak{t}\;\; i\mathbb{S}\ldots$

a sphere packing?

Ji Hoon Chun (TU Berlin)
2022/05/13, 13:00
Before the MATH+ Friday Colloquium by Prof. Maryna Viazovska (abstract, video recording)
TU Berlin, Hardenbergstraße 36 (directions)
Eugene-Paul-Wigner-Gebäude (EW), Lecture hall EW 201
In addition, the talked is live-streamed online (via zoom). The link has been sent out via the usual mailing lists; please contact the organisers if you have not received the email and would like to join the livestream.
About what?

The problem of finding the densest way to pack equally sized spheres in Euclidean space has been studied for hundreds of years. The densest packing is only known in dimensions 1, 2, 3, 8, and 24, with the last two being recently solved by Viazovska (2016) and Cohn et al. (2016). This talk will give an overview of several lower and upper bounds for the maximum packing density. We will also show examples of dense sphere packings in small and high dimensions and explain their properties and connections to other areas of mathematics.