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DTSTART;TZID=America/Los_Angeles:20231205T121500
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UID:3260-1701778500-1701781800@colleges.claremont.edu
SUMMARY:Skein algebra of a punctured surface (Helen Wong\, CMC)
DESCRIPTION:The Kauffman bracket skein algebra of a surface is at once related to quantum topology and to hyperbolic geometry. In this talk\, we consider a generalization of the skein algebra due to Roger and Yang for surfaces with punctures. In joint work with Han-Bom Moon\, we show that the generalized skein algebra is a quantization of Penner’s decorated Teichmuller space\, which consists of complete metrics of the surface with extra decoration at the punctures. Interestingly\, our proof relies on a connection between the skein algebra and the cluster algebras of tagged arcs due to Fomin\, Shapiro\, and Thurston.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-helen-wong-cmc-2/
LOCATION:Roberts North 102\, CMC
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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