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Math Colloquium: Ehrhart Theory and Partial Permutohedra
October 7 @ 2:00 pm - 3:00 pm
Presented by Dr. Erik Insko, Professor of Mathematics, Iowa State University.
In this talk, I will give a brief introduction to Ehrhart polynomials, which count the number of lattice points in a convex lattice polytope and also describe the polytope’s volume. Then I will define the partial permutohedron $P(m,n)$ and share how a simple sculpting idea has led to several new results and conjectures involving the volume and Ehrhart polynomial of the partial permutohedron $P(m,n)$ first defined and studied by Heuer and Striker in 2020. One goal of this talk is to be interesting and accessible to undergraduate and graduate students as well as faculty.