T-Shift on Reduced Plabic Graphs and Legendrian Weaves

Explore a 45-minute conference talk from the Canada–Mexico–US Conference in Representation Theory, Noncommutative Algebra, and Categorification, delivered by Daping Weng. Delve into the fascinating world of T-shifts on reduced plabic graphs and their connection to Legendrian weaves. Discover how these mathematical structures provide a more flexible approach to describing cluster structures on positroid strata of Grassmannians. Learn about the topological interpretation of cluster structures using Legendrian weaves and understand the implications of this approach. Examine the proof that the Muller-Speyer twist map coincides with the Donaldson-Thomas transformation on positroid strata, and grasp the significance of quasi-cluster equivalence between source and target labeled seeds. Gain insights into advanced topics in algebraic geometry, representation theory, and topology through this engaging presentation.