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SUMMARY:Nick Ovenhouse (University of Minnesota)
DTSTART:20210511T150000Z
DTEND:20210511T160000Z
DTSTAMP:20260423T035532Z
UID:OCAS/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OCAS/29/">Ex
 pansion Formulas for Decorated Super Teichmüller Space</a>\nby Nick Ovenh
 ouse (University of Minnesota) as part of Online Cluster Algebra Seminar (
 OCAS)\n\n\nAbstract\nIt is well-known that cluster variables in cluster al
 gebras coming from surfaces can be thought of as "lambda-length" coordinat
 es on decorated Teichmuller spaces. In the case of a polygon (a disk with 
 marked points on the boundary)\, there is a combinatorial formula for the 
 terms in the Laurent expansion of cluster variables\, due to Schiffler\, i
 n terms of "T-paths". Recently\, Penner and Zeitlin introduced Decorated S
 uper Teichmuller Spaces\, and presented a modified version of the Ptolemy 
 exchange relation. In joint work with Gregg Musiker and Sylvester Zhang\, 
 we give a version of the "T-path" formula for the super lambda-lengths. We
  also present connections with super frieze patterns introduced by Ovsienk
 o\, Morier-Genoud\, and Tabachnikov.\n
LOCATION:https://researchseminars.org/talk/OCAS/29/
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