Tel-Aviv University
School of Mathematical Sciences
Department Colloquium
Monday, December 31, 2012
Schreiber 006, 12:15
Fedor Nazarov
Kent State University
The ball is a local minimizer of the optimal lattice
packing density in $R^3$.
Abstract: We show that every symmetric convex body $K\subset R^3$
sufficiently close to the unit ball admits a lattice packing
whose density is not less than that for the ball and is strictly
larger unless $K$ is an ellipsoid. I hope to be able to present
the full proof. This is a joint work with Yoav Kallus.
