After some background on open positroid varieties and where they show up in other parts of math, I will present a new combinatorial approach to constructing total positivity tests (or clusters) in the coordinate rings of such varieties using relabeled plabic graphs, keeping the cluster prerequisites minimal. From the definitions, open positroid varieties seem to admit few symmetries. I will explain two different styles of constructions -- twisting or braiding -- which respectively give rise to isomorphisms between or automorphisms of open positroid varieties. Joint with Melissa Sherman-Bennett and Bernhard Keller.
Note: This talk begins with a pre-seminar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10.
Note: This talk will be online-only.
Join Zoom Meeting: https://washington.zoom.us/j/
Meeting ID: 915 4733 5974