Mathematical logic seminar – May 22 2018

Time: 3:30pm – 4:30 pm

Room: Wean Hall 8220

Speaker: David Fernández-Bretón

Department of Mathematics

University of Michigan

Title: Variations and analogs of Hindman’s theorem

Abstract:

Hindman’s theorem is a Ramsey-theoretic result asserting that, whenever one colours the set of natural numbers with finitely many colours, there will be an infinite set such that all numbers that can be obtained by adding finitely many elements from the set (no repetitions allowed) have the same colour. I will explore generalizations and extensions of this theorem: replacing “natural numbers” with “abelian group” and varying the number of colours, as well as the size of the desired monochromatic set, yields a plethora of very interesting results.