Geodesic
The densest lattice in twenty-four dimensions
Cohn, Henry1 ; Kumar, Abhinav2
1 Microsoft Research, One Microsoft Way, Redmond, WA 98052-6399
2 Department of Mathematics, Harvard University, Cambridge, MA 02138
Electronic research announcements of the American Mathematical Society, Tome 10 (2004), pp. 58-67

Voir la notice de l'article provenant de la source American Mathematical Society

In this research announcement we outline the methods used in our recent proof that the Leech lattice is the unique densest lattice in $\mathbb {R}^{24}$. Complete details will appear elsewhere, but here we illustrate our techniques by applying them to the case of lattice packings in $\mathbb {R}^2$, and we discuss the obstacles that arise in higher dimensions.
DOI : 10.1090/S1079-6762-04-00130-1

Cohn, Henry 1 ; Kumar, Abhinav 2

1 Microsoft Research, One Microsoft Way, Redmond, WA 98052-6399
2 Department of Mathematics, Harvard University, Cambridge, MA 02138 
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Cohn, Henry; Kumar, Abhinav. The densest lattice in twenty-four dimensions. Electronic research announcements of the American Mathematical Society, Tome 10 (2004), pp. 58-67. doi: 10.1090/S1079-6762-04-00130-1

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