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SUMMARY:Volker Genz (IBS Center for Geometry and Physics)
DTSTART:20240627T013000Z
DTEND:20240627T030000Z
DTSTAMP:20260423T010004Z
UID:gapkias/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/gapkias/12/"
 >Crystals and Cluster Algebras</a>\nby Volker Genz (IBS Center for Geometr
 y and Physics) as part of Geometry\, Algebra and Physics at KIAS\n\nLectur
 e held in Room 1423\, Korea Institute for Advanced Study.\n\nAbstract\nCry
 stal operators on canonical bases as introduced by Kashiwara/Lusztig provi
 de in particular a toolbox to compute within the category of finite dimens
 ional representations of finite dimensional simple Lie algebras. Motivated
  by this we introduce certain operators on the lattice of tropical points 
 of mirror dual A- and X-cluster spaces. In particular\, this yields a crys
 tal-like structure on the canonical basis due to Gross-Hacking-Keel-Kontse
 vich.\n
LOCATION:https://researchseminars.org/talk/gapkias/12/
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