Page 77 - 8th European Congress of Mathematics ∙ 20-26 June 2021 ∙ Portorož, Slovenia ∙ Book of Abstracts
P. 77
EMS PRIZE WINNERS
The magic of dimensions 8 and 24
Maryna Viazovska, viazovska@gmail.com
Ecole Polytechnique Federale de Lausanne, Switzerland
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 proper-
ties, 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?
75
The magic of dimensions 8 and 24
Maryna Viazovska, viazovska@gmail.com
Ecole Polytechnique Federale de Lausanne, Switzerland
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 proper-
ties, 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?
75
