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Combinatorics: Barak Weiss (TAU) | Einstein Institute of Mathematics

Combinatorics: Barak Weiss (TAU)

Date: 
Mon, 11/11/201910:00-12:00
Location: 
C-400, CS building

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.