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DTSTART:20230312T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20231130T140000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-seminar-kelvin-chan
SUMMARY:Algebraic and Enumerative Combinatorics Seminar - Kelvin Chan
CLASS:PUBLIC
DESCRIPTION:TITLE: Polarization operators in superspace\n\nSPEAKER:\n Kelvi
 n Chan\n\nAFFILIATION:\n York University\n\nLOCATION:\n MC 6029\n\nThere w
 ill be a pre-seminar presenting relevant background at the\nbeginning grad
 uate level starting at 1:00 pm.\n\nABSTRACT: The classic coinvariant space
  is a graded representation of\nthe symmetric group with deep connections 
 to permutation statistics\nand Hall-Littlewood polynomials. Its generaliza
 tion\, the diagonal\nharmonics\, has a rich connection to Macdonald polyno
 mials and the\nq\,t-Catalan numbers. In this talk\, we consider the varian
 t of the\nclassical coinvariant story in the superspace. We briefly survey
  its\nconnections and recent developments. We introduce polarization\noper
 ators and discuss a new basis for its alternating component. We\nalso disc
 uss a folklore on cocharge and propose a basis for the super\nharmonics.
DTSTAMP:20260404T085227Z
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