Toronto Set Theory

Event Information Partition theorems on uncountable abelian groups
13:30 on Friday April 27, 2018
15:00 on Friday April 27, 2018
FI210, Fields Institute, 222 College St.
David Breton

University of Michigan

In the past two years, a number of Ramsey-theoretic results concerning the additive structure of uncountable abelian groups have been investigated by diverse subsets of the set {Komjáth, Rinot, D. Soukup, W. Weiss, myself} (among others). From Ramsey results generalizing Hindman's theorem for certain groups and colourings, to anti-Ramsey statements asserting the existence of ”rainbow colourings” for sets of finite sums, I plan to provide a panoramic overview of this exciting line of research, and point towards possible future lines of enquiry.