Daping Weng - Weaves from T-Shifting Plabic Graphs - IPAM at UCLA

Recorded 26 October 2026. Daping Weng of the University of North Carolina presents "Weaves from T-Shifting Plabic Graphs" at IPAM's Contact Geometry, Cluster Algebras and Skein Theory Workshop.
Abstract: Plabic graphs are important combinatorial tools for describing cluster structures. By implementing a combinatorial procedure called T-shift, we can turn reduced plabic graphs on a disk into weaves, thereby producing Demazure weaves that describe cluster structures on open positroid varieties. As an application, we prove that the Muller-Speyer twist on open positroid varieties coincides with the Donaldson-Thomas transformation, and consequently, proving that the source labeling seeds and the target labeling seeds on the same open positroid variety are quasi-cluster equivalent. In this talk, I will go over the basics of the T-shift procedure and discuss generalizations to plabic fences as well as 3d plabic graphs. This talk is based on a joint work with R. Casals, I. Le, M. Sherman-Bennett, and a joint work in progress with R. Casals and S. Kim
Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-ii-contact-geometry-cluster-algebras-and-skein-theory/ Receive SMS online on sms24.me

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