# Rational polygons: Odd compression ratio and odd plane coverings

Sun, 15/05/2016 - 14:00

Speaker:

Yuri Rabinovich (University of Haifa)

Seminar:

Place:

Math building, 3rd floor seminar room (216/201)

Abstract:

We show that for any rational polygon P in the plane, and any odd-sized collection of translates of P, the area of the set of points covered by an odd number of these translates is bounded away from 0 by a universal constant depending on P alone.

The key ingredient of the proof is a construction of an odd cover of the plane by translates of P. That is, we establish a family of translates of P covering (almost) every point in the plane a uniformly bounded odd number of times.

Joint work with Rom Pinchasi.

- Last modified: 10/05/2016