Colloquium Abstracts

Date/Time/Location: Thursday April 5, 2018 from 3:00-3:50pm in BAC 219

Speaker/Affiliation: Andres Caicedo, Associate Editor at Mathematical Reviews

Title: Coloring the smooth numbers


For a given n, can we color the positive integers using precisely n colors in such a way that for any m, the numbers m, 2m, …, nm all get different colors? The question was asked by Péter Pach about 10 years ago and remains open in general. I will present a survey of known results and some other problems it leads to. This is joint work with Pach and my former master's student Tommy Chartier.