Partition theorems on uncountable abelian groups
Speaker:
David Fernández Bretón, University of Michigan
Date and Time:
Friday, April 27, 2018 - 1:30pm to 3:00pm
Location:
Fields Institute, Room 210
Abstract:
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.