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Mar
06
2026

Special Member's Seminar

Lattice Packing of Spheres in High Dimensions Using a Stochastically Evolving Ellipsoid
Boaz Klartag
2:00pm|Simonyi 101

We prove that in any dimension n there exists an origin-symmetric ellipsoid of volume c n^2 that contains no points of Z^n other than the origin. Here c > 0 is a universal constant. Equivalently, there exists a lattice sphere packing in R^n whose...