Logic Seminar
Dana Bartošová
University of Florida
Ramsey phenomena in ultraproducts of finite structures
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.
Tuesday November 2, 2021 at 4:00 PM in 636 SEO