Seminars & Colloquia Calendar

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Experimental Mathematics Seminar

Voting on Cyclic Orders, Representations, and Ties

Karl-Dieter Crisman, Gordon College

Location:  Zoom
Date & time: Thursday, 28 April 2022 at 5:00PM - 6:00PM

Abstract: In social choice theory there has been recent interest in voting on various combinatorial objects. One such object is cyclic orders, which may be thought of (informally) as ways of seating people around a table.
In this talk we will introduce a bit of algebraic voting theory, which profitably uses representation theory to classify (linear) voting systems. However, linear algebra can't solve every problem by itself, so we also discuss some of the patterns computer exploration discovered in investigating all possible complete ties under a particular system.
Joint work with Abraham Holleran, Micah Martin, and Josephine Noonan

Zoom link:
password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420

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