Seminar Details
Voting on Cyclic Orders, Representations, and Ties
- Start Date: April 28, 2022
- Event Start Time: 5:00 PM
- Event End Time: 6:00 PM
- Seminar Series: Experimental Math Seminar
- Presenter(s): Karl-Dieter Crisman - Gordon College
- Event Location: Online Event
- Event Additional Info: <p>Presented Via Zoom: <a href="https://rutgers.zoom.us/j/94346444480">https://rutgers.zoom.us/j/94346444480</a></p> <p>Password: 6564120420</p> <p>For further information see: <a href="https://sites.math.rutgers.edu/~zeilberg/expmath/">https://sites.math.rutgers.edu/~zeilberg/expmath/</a></p>
- Presentation Type: Stand Alone Presentation
- 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.
Link to video: https://vimeo.com/705910022