About this Event
Date: Monday, September 11 (09/11/2023)
Time: 4:00 PM - 5:00 PM
Location: Witmer 309
Title: Some Algebraic Techniques for Ramsey Theory
Speaker: Bryce Christopherson, Assistant Professor of Mathematics, University of North Dakota
Abstract: Ramsey theory addresses the mathematical phenomenon where the local structure of the objects in an ordered collection often becomes more regular beyond a certain bifurcation point, provided there is a suitable degree of global structure in the overall collection. Usually, a Ramsey-theoretic problem asks when this occurs, and the emergent local structure is constant in some sense (for instance, a monochromatic sub-graph). In this talk, we details some algebraic tricks for characterizing classical Ramsey numbers and use this to show that there are interesting non-constant emergent local structures in ordered collections of objects with slightly different global structure requirements.
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