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DTSTART:20260308T070000
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DTSTART;TZID=America/Toronto:20260407T143000
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DTEND;TZID=America/Toronto:20260407T153000
URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-seminar-ashleigh
SUMMARY:Algebraic and enumerative combinatorics seminar-Ashleigh\nAdams-Pro
 motion\, plane partitions\, partial evaluations\, and webs
CLASS:PUBLIC
DESCRIPTION:SPEAKER:\n Ashleigh Adams\n\nAFFILIATION:\n North Dakota State 
 University\n\nLOCATION:\n MC 6029\n\nABSTRACT: Webs are graphical objects
  that give a tangible\,\ncombinatorial way to compute and classify tensor 
 invariants. Recently\,\nGaetz\, Pechenik\, Pfannerer\, Striker\, and Swans
 on (arXiv:2306.12501)\nfound a rotation-invariant web basis for SL₄\, as
  well as its quantum\ndeformation U_q(sl₄)\, and a bijection between mov
 e equivalence\nclasses of SL₄-webs and fluctuating tableaux such that we
 b rotation\ncorresponds to tableau promotion. They also found a bijection 
 between\nthe set of plane partitions in an a×b×c box and a benzene move\
 nequivalence class of SL₄-webs by determining the corresponding\noscilla
 ting tableau. In this talk\, I will similarly find the\noscillating tablea
 ux corresponding to plane partitions in certain\nsymmetry classes by chara
 cterizing them via certain lattice words. A\ndynamical action on tableaux\
 , called promotion\, corresponds to\nrotation of SL₄-webs. I will show h
 ow promotion of certain\nsubtableaux aligns with rotation of their respect
 ive webs. I will also\nshow that this correspondence maps through a projec
 tion to either\nSL₂ or SL₃ webs. Moreover\, this projection is exactly
  a partial\nevaluation of webs. This talk will be given through the lens o
 f the\ncombinatorics of webs and tableaux. Some of this work is joint with
 \nJessica Striker.\n\nTHERE WILL BE A PRE-SEMINAR PRESENTING RELEVANT BAC
 KGROUND AT THE\nBEGINNING GRADUATE LEVEL STARTING AT 1:30PM.
DTSTAMP:20260402T211150Z
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