• 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!

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