Thursday, October 27, 2016, from 4 to 5:30pm

East Hall, room 3096

Speaker: David J. Fernández Bretón (University of Michigan)

Title: Strong failures of higher analogs of Hindman’s theorem, III

Abstract:

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.