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Esme Bajo: q-Analog Chromatic polynomials

Time: Wed 2023-05-31 11.15 - 12.15

Location: KTH 3721

Participating: Esme Bajo (University of California, Berkeley)

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Abstract: Stanley (1995) introduced a symmetric function generalization of the chromatic polynomial, and conjectured that it distinguishes non-isomorphic trees. We discuss a geometric approach to this problem using Chapoton’s q-analog weighted Ehrhart theory, wherein we express the principal specialization of the chromatic symmetric function as a polynomial in the q-integers and study its coefficients in different bases. This is joint work with Matthias Beck and Andrés R. Vindas-Meléndez.