Colloquium

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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