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SUMMARY:Elizabeth Kelley (University of Minnesota)
DTSTART:20201201T160000Z
DTEND:20201201T170000Z
DTSTAMP:20260423T021119Z
UID:OCAS/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OCAS/15/">Th
 eta basis for reciprocal generalized cluster algebras</a>\nby Elizabeth Ke
 lley (University of Minnesota) as part of Online Cluster Algebra Seminar (
 OCAS)\n\n\nAbstract\nCluster algebras are characterized by binomial exchan
 ge relations. A natural generalization of these algebras\, introduced by C
 hekhov and Shapiro\, relaxes this restriction and allows the\nexchange pol
 ynomials to have arbitrarily many terms. Following the work of Gross\, Ha
 cking\, Keel\, and Kontsevich\, we give the construction of scattering dia
 grams for the subclass of generalized cluster\nalgebras with reciprocal ex
 change coefficients. We then define the theta basis for these algebras and
  show that the fixed data of the left companion algebra is\, up to isomorp
 hism\, Langlands dual to\nthat of the right companion algebra (and vice ve
 rsa). This is joint work with Man-Wai Cheug and Gregg Musiker.\n
LOCATION:https://researchseminars.org/talk/OCAS/15/
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