The magic of dimensions 8 and 24

author: Maryna Viazovska, École Polytechnique Fédérale de Lausanne
published: July 6, 2021,   recorded: July 2021,   views: 6

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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?

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Reviews and comments:

Comment1 Aaron, May 30, 2022 at 12:28 p.m.:

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The magic of dimensions 8 and 24</a>

Comment2 Aaron, May 30, 2022 at 12:29 p.m.:

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The magic of dimensions 8 and 24</a>

Comment3 Aaron, May 30, 2022 at 12:31 p.m.:

thanks for video

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