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DTSTART;TZID=America/Toronto:20250612T143000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-seminar-laura
SUMMARY:Algebraic and enumerative combinatorics seminar-Laura Pierson
CLASS:PUBLIC
DESCRIPTION:TITLE:Power sum expansions for the Kromatic symmetric function\
 n\nSpeaker\n Laura Pierson\n\nAffiliation\n University of Waterloo\n\nLoca
 tion\n MC 5479\n\nABSTRACT:The Kromatic symmetric function was introduced 
 by Crew\,\nPechenik\, and Spirkl (2023) as a K-analogue of Stanley's chrom
 atic\nsymmetric function. While the chromatic symmetric function encodes\n
 proper colorings of a graph (where each vertex gets a color and\nadjacent 
 vertices get different colors)\, the Kromatic symmetric\nfunction encodes 
 proper set colorings (where each vertex gets a\nnonempty set of colors and
  adjacent vertices get non-overlapping color\nsets). The expansion of the 
 chromatic symmetric function in the basis\nof power sum symmetric function
 s has several nice interpretations\,\nincluding one in terms of source com
 ponents of acyclic orientations\,\ndue to Bernardi and Nadeau (2020). We l
 ift that expansion formula to\ngive expansion formulas for the Kromatic sy
 mmetric function using a\nfew different K-analogues of the power sum basis
 . Our expansions are\nbased on Lyndon heaps\, introduced by Lalonde (1995)
 \, which are\nrepresentatives for certain equivalence classes of acyclic\n
 orientations on clan graphs (graphs formed from the original graph by\nrem
 oving vertices and adding extra copies of vertices).\n\nTHERE WILL BE A PR
 E-SEMINAR PRESENTING RELEVANT BACKGROUND AT THE\nBEGINNING GRADUATE LEVEL 
 STARTING AT 1:30PM\,
DTSTAMP:20260403T081812Z
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