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维度8和维度24的魔力

The magic of dimensions 8 and 24
课程网址: https://videolectures.net/8ecm2021_viazovska_magic_dimensions/  
主讲教师: Maryna Viazovska
开课单位: 8ECM会议
开课时间: 2021-07-06
课程语种: 英语
中文简介:
本文讨论两个特殊的数学对象:E8格和Leech格。这两个格是非常紧密和对称的。它们满足许多极端性质,特别是在各自的尺寸中提供最致密的球形填料,并且是普遍最优的。本次讲座试图回答这样一个问题:维度8和24有什么不寻常的地方,为什么它们拥有这两个“神奇”的晶格?
课程简介: This talk is about two exceptional mathematical objects: the E8 lattice and the Leech lattice. These two lattices are extraordinary tight and symmetric. They satisfy many extremal properties, in particular provide the densest sphere packings in their respective dimensions and are universally optimal. This lecture is an attempt to answer the question: what is so unusual about dimensions 8 and 24 and why they host these two ”magic” lattices?
关 键 词: 维度8; 维度24; 球形填料
课程来源: 视频讲座网
数据采集: 2024-05-23:liyq
最后编审: 2024-05-23:liyq
阅读次数: 4