Dana Bartošová : Ramsey phenomena in ultraproducts of finite structures

Posted by Filippo Calderoni , part of the Logic Seminar.

At

Nov. 2, 2021, 4 p.m.

In

636 SEO

Abstract

In the past two decades there has been much investigation into structural Ramsey theory, that is, natural generalizations of the finite, and more recently infinite, Ramsey's theorem to finite/countable first order structures, such as graphs, hypergraphs, Boolean algebras, or vector spaces over finite fields. We investigate how the Ramsey phenomena transport from a countable class of finite structures to its ultraproducts. This is a joint work in progress with Mirna Džamonja, Rehana Patel, and Lynn Scow.