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The equivariant Ehrhart theory of the permutahedron

Mariel Supina, UC Berkeley
Wednesday, April 21, 2021 - 3:30pm to 5:00pm
via Zoom

Note: This talk begins with a pre-seminar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10.

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Meeting ID: 915 4733 5974

Ehrhart theory is a topic in geometric combinatorics which involves counting the lattice points inside of lattice polytopes. Stapledon (2010) introduced equivariant Ehrhart theory, which combines discrete geometry, combinatorics, and representation theory to give a generalization of Ehrhart theory that accounts for the symmetries of polytopes. In this talk, I will discuss joint work with Ardila and Vindas-Meléndez (2020) on answering one of Stapledon's open questions: determining the equivariant Ehrhart theory for the permutahedron, and verifying his Effectiveness Conjecture in this special case.