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SUMMARY:Melissa Sherman-Bennett (MIT)
DTSTART:20221020T185000Z
DTEND:20221020T195000Z
DTSTAMP:20260423T005853Z
UID:GPRTatNU/59
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/59/
 ">Cluster structures on type A braid varieties and 3D plabic graphs</a>\nb
 y Melissa Sherman-Bennett (MIT) as part of Geometry\, Physics\, and Repres
 entation Theory Seminar\n\n\nAbstract\nBraid varieties are smooth affine v
 arieties associated to any positive braid. Special cases of braid varietie
 s include Richardson varieties\, double Bruhat cells\, and double Bott-Sam
 elson cells. Cluster algebras are a class of commutative rings with a rich
  combinatorial structure\, introduced by Fomin and Zelevinsky. I'll discus
 s joint work with P. Galashin\, T. Lam and D. Speyer in which we show the 
 coordinate rings of braid varieties are cluster algebras\, proving and gen
 eralizing a conjecture of Leclerc in the case of Richardson varieties. See
 ds for these cluster algebras come from "3D plabic graphs"\, which are bic
 olored graphs embedded in a 3-dimensional ball that generalize Postnikov's
  plabic graphs for positroid varieties.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/59/
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