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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]

Speaker

Chengfei Xie
Capital Normal University, Beijing

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.

Details

Date:
Wednesday, June 22, 2022
Time:
4:30 PM - 5:30 PM KST
Event Category:
Event Tags:

Venue

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

Organizer

Joonkyung Lee (이준경)
IBS 이산수학그룹 Discrete Mathematics Group
기초과학연구원 수리및계산과학연구단 이산수학그룹
대전 유성구 엑스포로 55 (우) 34126
IBS Discrete Mathematics Group (DIMAG)
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
E-mail: dimag@ibs.re.kr, Fax: +82-42-878-9209
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