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DTSTART;TZID=America/Toronto:20260212T143000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-en
 umerative-combinatorics-santiago-estupinan
SUMMARY:Algebraic & Enumerative Combinatorics - Santiago Estupiñán
CLASS:PUBLIC
DESCRIPTION:TITLE: Jeu de Taquin for Mixed Insertion and a Problem of Sooj
 in Cho\n\nSPEAKER:\n Santiago Estupiñán\n\nAFFILIATION:\n University of 
 Waterloo\n\nLOCATION:\n MC 5417\n\nABSTRACT: \n\nSerrano (2010) introduce
 d the shifted plactic monoid\, governing\nHaiman's (1989) mixed insertion 
 algorithm\, as a type B analogue of the\nclassical plactic monoid that con
 nects jeu de taquin of Young tableaux\nwith the Robinson–Schensted–Knu
 th insertion algorithm. Serrano\nproposed a corresponding definition of sk
 ew shifted plactic Schur\nfunctions. Cho (2013) disproved Serrano's conjec
 ture regarding this\ndefinition\, by showing that the functions do not liv
 e in the desired\nring and hence cannot provide an algebraic interpretatio
 n of tableau\nrectification or of the corresponding structure coefficients
 . Cho\nasked for a new definition with particular properties. We introduce
 \nsuch a definition and prove that it behaves as desired. We also\nintrodu
 ce the first jeu de taquin theory that computes mixed\ninsertion. This is 
 joint work with Oliver Pechenik.\n\nThere will be a pre-seminar presenting
  relevant background at the\nbeginning graduate level starting at 1:30pm i
 n MC 5417.
DTSTAMP:20260402T153506Z
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