科学研究
学术报告
On Hadwiger’s Covering Functional for the Simplex and the Cross-Polytope
发布时间:2021-09-07浏览次数:

题目:On Hadwiger’s Covering Functional for the Simplex and the Cross-Polytope

报告人:薛非 讲师 (南京师范大学) 

地点:腾讯会议室

时间:2021年9月7日 9:00-10:00

摘要:In 1957, Hadwiger made a conjecture that every n-dimensional convex body can be covered by 2^n translations of its interior. The Hadwiger’s covering functional gamma_m(K) is the smallest positive number r such that K can be covered by m translations of rK. Due to Zong’s program, we study the Hadwiger’s covering functional for the simplex and the cross-polytope. In this talk, we will show the new upper bounds for the Hadwiger’s covering functional of the simplex and the cross-polytope, together with some other cases. 

This is a joint work with Yanlu Lian and Yuqin Zhang.

腾讯会议:https://meeting.tencent.com/dm/Ctm1MgjmKvAa?rs=25

会议 ID:956 856 899

All are welcome!