# 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)

### Abstract

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.