The densest lattice in twenty-four dimensions

By Henry Cohn, Abhinav Kumar. 2004

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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.

Subfields: Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/0f1dbdf3c2b5335ac48e2a022a745110bc2912b6