Combinatorics Seminar

In this talk, we introduce the totally nonnegative Lagrangian Grassmannian, a new subset of the totally nonnegative Grassmannian determined by a specific skew-symmetric bilinear form. We describe its cell decomposition and show that each cell can be represented by a rotationally symmetric plabic graph. These graphs are not always reduced, which requires the development of new tools for working with non-reduced plabic graphs.