Abstracts
for the Seminar

Fall 2015

**Speaker: **Jean-Baptiste Priez, Université Paris Sud

**Title: **Polynomial realizations of Hopf algebras

**Time:** 2:30 PM, Monday, September 28, 2015

**Place:** Malott 206

**Abstract:** We formalize the theory of polynomial realizations of Hopf algebras. This gives a framework in which many combinatorial Hopf algebras easily arise from elementary combinatorial ingredients. As an example, we construct a family of Hopf algebras with basis indexed by generalized parking functions. We will finally see how polynomial realizations may be naturally lifted within the theory of bimonoids.

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