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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-seminar-harper
SUMMARY:Algebraic and enumerative combinatorics seminar-Harper Niergarth an
 d\nKartik Singh
CLASS:PUBLIC
DESCRIPTION:TITLE: The quasisymmetric Macdonald polynomials are quasi-Schur
 \npositive at t = 0\n\nSpeaker\n Harper Niergarth and Kartik Singh\n\nAffi
 liation\n University of Waterloo\n\nLocation\n MC 5479\n\n ABSTRACT: The 
 quasisymmetric Macdonald polynomials G_\\gamma (X\; q\,\nt) are a quasisym
 metric refinement of the symmetric Macdonald\npolynomials that specialize 
 to the quasisymmetric Schur functions\nQS_\\alpha (X). We study the t = 0 
 specialization G_\\gamma (X\; q\,0)\,\nwhich can be described as a sum ove
 r weighted multiline queues. We\nshow that G_\\gamma (X\; q\, 0) expands p
 ositively in the quasisymmetric\nSchur basis and give a charge formula for
  the quasisymmetric\nKostka-Foulkes polynomials K_{\\gamma\,\\alpha}(q) in
  the expansion\nG_\\gamma (X\; q\, 0) = \\sum K_{\\gamma\,\\alpha}(q) QS_\
 \alpha(X). The proof\nrelies heavily on crystal operators\, and if you do 
 not know what that\nmeans\, come find out! This is joint work with Olya Ma
 ndelshtam.\n\nTHERE WILL BE A PRE-SEMINAR PRESENTING RELEVANT BACKGROUND A
 T THE\nBEGINNING GRADUATE LEVEL STARTING AT 1PM\,
DTSTAMP:20260403T083357Z
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