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DTSTART;TZID=America/New_York:20260612T130000
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UID:10011859-1781269200-1781272200@umaine.edu
SUMMARY:Mathematics MA Thesis Defense: Aidan McEnaney
DESCRIPTION:Please join us on Friday for the thesis defense of Aidan McEnaney. \n\nAidan McEnaney\, MA Candidate\, University of º£½ÇÉçÇø.  (Advisor: Tyrone Crisp)\nFriday\, June 12\, 2026. Mathematics MA Thesis Defense.\n1:00 – 1:50 pm\, 421 Neville Hall\n\nTitle:  COMBINATORIAL RECIPROCITY FOR EQUIVARIANT CHROMATIC\nPOLYNOMIALS \nAbstract: The chromatic polynomial of a graph counts the number of ways in which the graph can be colored\, with an input being the number of colors at hand. A combinatorial reciprocity theorem of Stanley’s tells us that evaluating the chromatic polynomial at -1 counts the number of acyclic orientations of the graph. Hanlon has proved an analogue of the aforementioned reciprocity theorem for the orbital chromatic polynomial\, which counts colorings that differ by a rotation or symmetry as the same. In this thesis we establish a reciprocity theorem for a new family of chromatic polynomials\, defined in terms of group representations\, that generalizes both the standard and the orbital chromatic polynomials.
URL:/calendar/event/mathematics-ma-thesis-defense-aidan-mcenaney/
LOCATION:421 Neville Hall
CATEGORIES:Lectures & Seminars
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