Logic

Assuming the Continuum Hypothesis, Hindman, Leader and Strauss recently exhibited a colouring of the real line with two colours such that, for every uncountable set of reals, the collection of pairwise sums of these reals is panchromatic. We will show a few generalizations of these results, obtaining colourings both of the real line, and of other abelian groups, in many colours, satisfying similar anti-Ramsey-theoretic properties. This is talk number 3 out of n (where n is still TBD), and its contents are joint work with Assaf Rinot. Speaker(s): David Fernandez Breton (University of Michigan)