Sphere Packing

Sphere Packing

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Matthew De Courcy-Ireland , Princeton University
Fine Hall 314

We discuss a beautiful method of Cohn and Elkies which gives bounds on how densely spheres can be packed in Euclidean space of any dimension. Their method has been elaborated by Cohn and Kumar to show that the Leech lattice is the unique densest lattice packing in 24-dimensional space and that the E8 lattice is the unique densest lattice packing in 8-dimensional space.