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DTSTART:20220313T070000
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DTSTART;TZID=America/Toronto:20221003T113000
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URL:/combinatorics-and-optimization/events/algebraic-gr
 aph-theory-seminar-nathan-lindzey-5
SUMMARY:Algebraic Graph Theory Seminar - Nathan Lindzey
CLASS:PUBLIC
DESCRIPTION:Summary \n\nTitle: Jack Derangements\n\nSpeaker:\n Nathan Lindz
 ey\n\nAffiliation:\n Technion\n\nLocation:\n Contact  Sabrina Lato for Zo
 om link\n\nAbstract: For each integer partition $\\lambda \\vdash n$ we gi
 ve a\nsimple combinatorial formula for the sum of the Jack character\n$\\t
 heta^\\lambda_\\alpha$ over the integer partitions of $n$ with no\nsinglet
 on parts. For $\\alpha = 1\,2$ this gives closed forms for the\neigenvalue
 s of the permutation and perfect matching derangement\ngraphs\, resolving 
 an open question in algebraic graph theory. Our\nproofs center around a Ja
 ck analogue of a hook product related to\nCayley's $\\Omega$--process in c
 lassical invariant theory\, which we\ncall \\emph{the principal lower hook
  product}.\n 
DTSTAMP:20250523T180543Z
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