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DTSTART:20070311T020000
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DTSTAMP:20260314T140823
DTSTART;TZID=America/Detroit:20260327T143000
DTEND;TZID=America/Detroit:20260327T153000
SUMMARY:Workshop / Seminar:Twists\, Higher Dimer Covers\, and Web Duality for Grassmannian Cluster Algebras (Combinatorics)
DESCRIPTION:We study a twisted version of Fraser\, Lam\, and Le's higher boundary measurement map\, using face weights instead of edge weights\, thereby providing Laurent polynomial expansions\, in Plücker coordinates\, for twisted web immanants for Grassmannians. In some small cases\, Fraser\, Lam\, and Le observe a phenomenon they call \"web duality''\, where web immanants coincide with web invariants\, and they conjecture that this duality corresponds to transposing the standard Young tableaux that index basis webs. We show that this duality continues to hold for certain SL_3 and SL_4 webs.  Combining this with our twisted higher boundary measurement map\, we recover and extend formulas of Elkin-Musiker-Wright for twists of certain cluster variables. We also provide evidence supporting conjectures of Fomin-Pylyavskyy as well as one by Cheung-Dechant-He-Heyes-Hirst-Li classifying cluster variables of low Plücker degree in C[Gr(3\,n)].  This is joint work with Banaian\, Catania\, Gaetz\, Moore\, and Wright.
UID:142233-21890251@events.umich.edu
URL:https://events.umich.edu/event/142233
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 3866
CONTACT:
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