# Mathematical Sciences Research Institute

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# Seminar

GTC Postdoc Seminar: Positroids, posets and polytopes September 29, 2017 (12:45 PM PDT - 01:30 PM PDT)
Parent Program: Geometric and Topological Combinatorics MSRI: Simons Auditorium
Speaker(s) Anastasia Chavez (University of California, Davis)
Description No Description
Video
The introduction and study of positroids, a special class of matroids, was pioneered by Postnikov in his study of the totally nonnegative Grassmannian and has subsequently been applied to various fields such as cluster algebras, physics, and free probability. Postnikov showed that positroids, the matroids realized by full rank $k\times n$ real matrices whose maximal minors are nonnegative, are in bijection with several combinatorial objects: Grassmann necklaces, decorated permutations, Le-diagrams and plabic graphs.