Presented By: Student Combinatorics Seminar - Department of Mathematics
The Totally Nonnegative Grassmannian
Amanda Schwartz
The totally nonnegative Grassmannian is the subset of the Grassmannian whose points can be represented by matrices where all the maximal minors have non-negative determinant. We will discuss a stratification of this space into positroid cells and talk about multiple classes of combinatorial objects - including bounded affine permutations, Grassmann necklaces, and cyclic rank matrices - that can be used to index this stratification.
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