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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20260611T143000
SEQUENCE:0
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DTEND;TZID=America/Toronto:20260611T153000
URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-seminar-kevin
SUMMARY:Algebraic and Enumerative combinatorics seminar - Kevin Purbhoo- Th
 e\nhook length formula massacree
CLASS:PUBLIC
DESCRIPTION:SPEAKER:\n Kevin Purbhoo\n\nAFFILIATION:\n University of Waterl
 oo\n\nLOCATION:\n MC 5479\n\nABSTRACT: Around 1900 Young and Frobenius (i
 ndependently\, and through\nvery different techniques) obtained a formula 
 for the dimensions of\nthe irreducible representations of the symmetric gr
 oup. Some 53 years\nlater\, Frame\, Robinson and Thrall noticed that the Y
 oung-Frobenius\nformula simplified into the now famous hook length formula
 . Nowadays\nthere are many proofs\, but the hook length formula remains so
 mething\nof a mystery\, as if some deeper understanding lies just out of r
 each.\nOne aspect of this mystery is that none of the proofs seem to indic
 ate\nhow one might come up with the formula in the first place\, other tha
 n\njust guessing.\n\nI will attempt to answer that question. It is an impr
 obable tale that\nmeanders through scenes of Young symmetrizers\, Schur-We
 yl duality\,\nWeyl algebras\, elementary combinatorics\, and Plücker rela
 tions. All\nbecause Google's AI gave me a very obviously wrong answer when
  I was\ntrying to find out the square of a Young symmetrizer.\n\nTHERE WIL
 L BE A PRE-SEMINAR PRESENTING RELEVANT BACKGROUND AT\nBEGINNING GRADUATE L
 EVEL STARTING AT 1:30PM IN MC 5417.
DTSTAMP:20260603T195049Z
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