Kenneth Moore


Title: Spherical Colourings and Progressions In Euclidean Ramsey Theory

Abstract: In this talk we will look at recent advancements in Euclidean
Ramsey Theory. In particular, we will discuss results on colourings that
avoid monochromatic 'progressions' -- finite sets of evenly spaced
collinear points. We will discuss constructions of geometric graphs, and
a well studied method of space colouring known as spherical colouring.

This talk is based on joint work with Gabriel Currier and Chi Hoi Yip.