Proceedings of the 28-th International Conference on Formal Power Series and Algebraic Combinatorics
4-8 Jul 2016 Vancouver, British Columbia (Canada)

Extended abstracts listed by author > White Jacob

Tuesday 5
Combinatorics
Eric Fusy
› 17:30 - 19:00 (1h30)
› SFU Harbour Center - Segal Centre Conference Rooms 1400 - 1410
Quasisymmetric functions from combinatorial Hopf monoids and Ehrhart Theory
Jacob White  1  
1 : School of Mathematical and Statistical Sciences, University of Texas - Rio Grande Valley, Edinburg, Texas

We investigate quasisymmetric functions coming from combinatorial Hopf monoids. We show that these
invariants arise naturally in Ehrhart theory, and that some of their specializations are Hilbert functions for relative
simplicial complexes. This class of complexes, called forbidden composition complexes, also forms a Hopf monoid,
thus demonstrating a link between Hopf algebras, Ehrhart theory, and commutative algebra. We also study various
specializations of quasisymmetric functions.



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