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UID:b9705f85561b854e013eea1684f0ba98
CATEGORIES:Experimental Mathematics Seminar
CREATED:20220330T114954
SUMMARY:Voting on Cyclic Orders, Representations, and Ties
LOCATION:Zoom
DESCRIPTION:Abstract: In social choice theory there has been recent interest in voting 
 on various combinatorial objects. One such object is cyclic orders, which m
 ay be thought of (informally) as ways of seating people around a table.\nIn
  this talk we will introduce a bit of algebraic voting theory, which profit
 ably uses representation theory to classify (linear) voting systems. Howeve
 r, linear algebra can't solve every problem by itself, so we also discuss s
 ome of the patterns computer exploration discovered in investigating all po
 ssible complete ties under a particular system.\nJoint work with Abraham Ho
 lleran, Micah Martin, and Josephine Noonan\n
X-ALT-DESC;FMTTYPE=text/html:<p>Abstract: In social choice theory there has been recent interest in voti
 ng on various combinatorial objects. One such object is cyclic orders, whic
 h may be thought of (informally) as ways of seating people around a table.<
 br />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 di
 scuss some of the patterns computer exploration discovered in investigating
  all possible complete ties under a particular system.<br />Joint work with
  Abraham Holleran, Micah Martin, and Josephine Noonan</p>
CONTACT:Karl-Dieter Crisman, Gordon College
X-EXTRAINFO:Zoom link: https://rutgers.zoom.us/j/94346444480\npassword: The 20th Catala
 n number, alias (40)!/(20!*21!), alias 6564120420
DTSTAMP:20260827T154450
DTSTART;TZID=America/New_York:20220428T170000
DTEND;TZID=America/New_York:20220428T180000
SEQUENCE:0
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