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DTSTART:20220313T070000
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DTSTART:20211107T060000
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DTSTART;TZID=America/Toronto:20221003T113000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20221003T113000
URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-gr
 aph-theory-seminar-nathan-lindzey-5
SUMMARY:Algebraic Graph Theory Seminar - Nathan Lindzey
CLASS:PUBLIC
DESCRIPTION:Title: Jack Derangements\n\nSpeaker:\n Nathan Lindzey\n\nAffili
 ation:\n Technion\n\nLocation:\n Contact  Sabrina Lato for Zoom link\n\nA
 bstract: For each integer partition $\\lambda \\vdash n$ we give a\nsimple
  combinatorial formula for the sum of the Jack character\n$\\theta^\\lambd
 a_\\alpha$ over the integer partitions of $n$ with no\nsingleton parts. Fo
 r $\\alpha = 1\,2$ this gives closed forms for the\neigenvalues of the per
 mutation and perfect matching derangement\ngraphs\, resolving an open ques
 tion in algebraic graph theory. Our\nproofs center around a Jack analogue 
 of a hook product related to\nCayley's $\\Omega$--process in classical inv
 ariant theory\, which we\ncall \\emph{the principal lower hook product}.
DTSTAMP:20260420T022903Z
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