Speaker: Wei-Hsuan Yu (National Central University)
Title: Maximum spherical $s$-distance sets in Euclidean space
Time: 2019-06-27 (Thu.)  15:00 -
Place: Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
Abstract: A spherical $s$-distance set is a finite collection $C$ of unit vectors in $\mathbb{R}^{n}$ such that for each pair of distinct vectors has $s$ distinct inner product values. We address the problem to determine maximum spherical $s$-distance sets. We will talk about the history to this problem and mention our recent progress on it. We improve the upper bounds for spherical three-distance sets in $\mathbb{R}^7$ from $91$ to $84$ and we prove that maximum size of spherical three-distance sets is $2300$ in $\mathbb R^{23}$.
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