The densest lattice in twenty-four dimensions
arXiv:math/0408174 · doi:10.1090/S1079-6762-04-00130-1
Abstract
In this research announcement we outline the methods used in our recent proof that the Leech lattice is the unique densest lattice in R^24. Complete details will appear elsewhere, but here we illustrate our techniques by applying them to the case of lattice packings in R^2, and we discuss the obstacles that arise in higher dimensions.
10 pages