School of Mathematical Sciences

Department Colloquium

Schreiber 006, 12:15

Kent State University

packing density in $R^3$.

We show that every symmetric convex body $K\subset R^3$

Abstract:

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.

Coffee will be served at 12:00 before the lecture

at Schreiber building 006