# Colloquium: Assaf Rinot (Bar-Ilan) - Hindman’s theorem and uncountable Abelian groups

## Location:

additive Ramsey theory asserting that for any partition of the set of

natural numbers into finitely many cells, there exists some infinite set

such that all of its finite sums belong to a single cell.

In this talk, we shall address generalizations of this statement to the

realm of the uncountable. Among other things, we shall present a

negative partition relation for the real line which simultaneously

generalizes a recent theorem of Hindman, Leader and Strauss, and a