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DTSTART:20070311T020000
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DTSTAMP:20261019T152959
DTSTART;TZID=America/Detroit:20261030T150000
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SUMMARY:Workshop / Seminar:Zamolodchikov Periodic Cluster Algebras
DESCRIPTION:In 2007\, Fomin and Zelevinsky introduced the bipartite belt\, a sequence of bipartite cluster mutations whose exchange relations form a discrete dynamical system. When the system is periodic\, we call this Zamolodchikov periodicity. In this talk\, we discuss the classification of all Zamolodchikov periodic cluster algebras\, with connections to W-graphs\, root systems\, and maximal green sequences. We observe that there is a natural red-blue statistic on the associated tropical dynamics that is homomesic\, and use laminations to prove it for finite type. This gives a natural bijection between colored mutations in the dynamical system and roots in the associated root system.
UID:149993-21907789@events.umich.edu
URL:https://events.umich.edu/event/149993
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 4088
CONTACT:
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