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# Chengfei Xie, On the packing densities of superballs in high dimensions

## Wednesday, June 22, 2022 @ 4:30 PM - 5:30 PM KST

Zoom ID: 870 0312 9412 (ibsecopro) [CLOSED]

The sphere packing problem asks for the densest packing of nonoverlapping equal-sized balls in the space. This is an old and difficult problem in discrete geometry. In this talk, we give a new proof for the result that for $ 1<p<2 $, the translative packing density of superballs (a generalization of $\ell^p$ balls) in $\mathbb{R}^n$ is $\Omega(n/2^n)$.

This is joint work with Gennian Ge.