Positroids and Graphs
Quail, Jeremy
Quail, Jeremy
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Abstract
Postnikov developed a combinatorial structure of the cells in a totally-nonnegative Grass mannian, which correspond to a special type of ordered matroid, called a positroid. Knutson, Lam and Speyer showed that these positroids are further in bijection with so-called bounded juggling patterns. We focus on graphic matroids, and show that the map provided by this bijection is onto: i.e. there exists a graphic matroid for every bounded juggling pattern.
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Date
2023-01-01
Student Status
Graduate
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Poster Presentation
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Mathematics
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College of Engineering and Mathematical Sciences
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Engineering and Math Science