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Laura Escobar: Partial Permutohedra

Time: Tue 2022-11-22 16.15

Location: 3418, Lindstedtsvägen 25, and Zoom

Video link: Meeting ID: 621 8808 6001

Participating: Laura Escobar (Washington University in St. Louis)

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Partial permutohedra are lattice polytopes which were recently introduced and studied by Heuer and Striker. For positive integers m and n, the partial permutohedron~$\cP(m,n)$ is the convex hull of all vectors in \(\{0,1,\ldots,n\}^m\) with distinct nonzero entries. In this talk I will present results on the face lattice, volume and Ehrhart polynomial of $\cP(m,n)$. This is joint work with Behrend, Castillo, Chavez, Diaz-Lopez, Harris and Insko.