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SUMMARY:Chris Fraser (University of Minnesota)
DTSTART:20210209T160000Z
DTEND:20210209T170000Z
DTSTAMP:20260423T035052Z
UID:OCAS/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OCAS/21/">Cl
 uster combinatorics of $SL_k$ skein algebras of punctured surfaces</a>\nby
  Chris Fraser (University of Minnesota) as part of Online Cluster Algebra 
 Seminar (OCAS)\n\n\nAbstract\nBy work of several authors\, the space of de
 corated $G$-local\nsystems on a bordered marked surface is a cluster varie
 ty. When $G$ is\n$SL_2$\, the associated cluster algebras are the cluster 
 algebras from\nsurfaces. We will present algebraic and combinatorial resul
 ts and\nconjectures probing this family of cluster algebras when $G = SL_k
 $\, in\nthe spirit of previous work of Fomin-Shapiro-Thurston\,\nFomin-Pyl
 yavskyy\, and Goncharov-Shen. The main ingredients\ngeneralize tagged arc
 s and tagged triangulations from the $SL_2$ case.\nJoint with Pavlo Pyl
 yavskyy.\n
LOCATION:https://researchseminars.org/talk/OCAS/21/
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