# Combinatorics: Barak Weiss (TAU)

Speaker: Barak Weiss (TAU)

Title:  New bounds on the covering radius of a lattice.

Abstract:

We obtain new upper bounds on the minimal density of lattice coverings of R^n by dilates of a convex body K. We also obtain bounds on the probability (with respect to the natural Haar-Siegel measure on the space of lattices) that a randomly chosen lattice L satisfies L + K = R^n. As a step in the proof, we utilize and strengthen results on the discrete Kakeya problem. This is joint work with Or Ordentlich and Oded Regev.

## Date:

Mon, 11/11/2019 - 10:00 to 12:00

## Location:

C-400, CS building