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Séminaire Lotharingien de Combinatoire, 84B.83 (2020), 12 pp.

# Federico Ardila, Mariel Supina and Andrés R. Vindas-Meléndez

# The Equivariant Ehrhart Theory of the Permutahedron

**Abstract.**
Equivariant Ehrhart theory enumerates the lattice points in a polytope with respect to a group action. Answering a question of Stapledon, we describe the equivariant Ehrhart theory of the permutahedron, and we prove his Effectiveness Conjecture in this special case.

Received: November 20, 2019.
Accepted: February 20, 2020.
Final version: April 30, 2020.

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