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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.


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Details

Date:
October 7
Time:
2:00 pm - 3:00 pm
Event Categories:
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Venue

UWM EMS Building, Room E495
3200 N. Cramer Avenue
Milwaukee, WI 53211 United States
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Organizer

Mathematical Sciences Department
Phone:
414-229-4836
Email:
math-staff@uwm.edu
Website:
https://uwm.edu/math/