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SUMMARY:Crystal Operators on Cluster Algebras (Remote)
DTSTART;VALUE=DATE-TIME:20211130T135000Z
DTEND;VALUE=DATE-TIME:20211130T144000Z
DTSTAMP;VALUE=DATE-TIME:20220524T001701Z
UID:indico-contribution-5977@indico.math.cnrs.fr
DESCRIPTION:Speakers: Volker Genz (IBS CGP)\nCrystal operators on canonica
l bases as introduced by Kashiwara/Lusztig provide in particular a toolbox
to compute within the category of finite dimensional representations of f
inite dimensional simple Lie algebras. Motivated by this we introduce cert
ain operators on the lattice of tropical points of mirror dual A- and X-cl
uster spaces. In particular\, this yields a crystal-like structure on the
canonical basis due to Gross-Hacking-Keel-Kontsevich. We expect these oper
ators to have a wider range of applications in the theory of cluster algeb
ras and in physics. This is partially based on joint work with Gleb Koshev
oy and Bea Schumann.\n\nhttps://indico.math.cnrs.fr/event/7040/contributio
ns/5977/
LOCATION:Le Bois-Marie Centre de confĂ©rences Marilyn et James Simons
URL:https://indico.math.cnrs.fr/event/7040/contributions/5977/
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