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Permutations through tableaux, posets and polytopes

Algebra & Discrete Mathematics

Speaker: Jianping Pan, North Carolina State University
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Location: 2112 MSB
Start time: Tue, Oct 10 2023, 4:10PM

Permutations are fundamental objects in mathematics, biology and many other fields. Different presentations reveal different aspects of permutations, for instance, the one-line notation describes how their patterns go up and down while the reduced words highlight their construction through transpositions. I will talk about certain tableaux, posets, and polytopes from permutations and the interplay between them. This talk is based on joint works with Banaian, Chepuri, Gunawan, Russel and Tenner.