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SUMMARY:Gregg Musiker (University of Minnesota)
DTSTART:20201117T160000Z
DTEND:20201117T170000Z
DTSTAMP:20260423T035409Z
UID:OCAS/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OCAS/9/">Dou
 ble-dimer configurations and quivers of dP3 (del Pezzo) type</a>\nby Gregg
  Musiker (University of Minnesota) as part of Online Cluster Algebra Semin
 ar (OCAS)\n\n\nAbstract\nIn this talk\, I will describe our work extending
  combinatorial interpretations for so called toric cluster variables as wa
 s previously studied by myself and Tri Lai. In [LM 2017] and [LM 2020]\, m
 ost toric cluster variables were shown to have Laurent expansions agreeing
  with partition functions of dimers on subgraphs cut out by six-sided cont
 ours. However\, the case of cluster variables\nparameterized by six-sided 
 contours with a self-intersection eluded our techniques. In this talk we d
 iscuss our research rectifying this issue by using Helen Jenne’s condens
 ation results for the\ndouble-dimer model [J 2019]. While we focus on quiv
 ers of dP3 type of Model 1 and Model 4\, we anticipate our techniques will
  extend to certain additional cluster algebras related to brane tilings. 
 \nThis is joint work with Helen Jenne and Tri Lai.\n
LOCATION:https://researchseminars.org/talk/OCAS/9/
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