报告题目：Algebraic structures on faces of polytopes

报告人：Pierre-Louis Curien 教授（IRIF，CNRS, Paris 7 University)

主持人：张敏

报告时间：2017年11月7日14:30—15:30

报告地点：中北校区理科大楼B1002

Abstract :

This is joint work with Emily Burgunder (Institut de Mathématiques de Toulouse) and Bérénice Delcroix-Oger (IRIF). This work is at the crossing point of operad theory and combinatorics. (Operad theory is the linear  version of equational theories.) We study four families of polytopes (simplices, associahedra, hypercubes, permutohedra), whose faces are in one-to-one correspondence with inductively defined tree-like combinatorial objects called constructs. We define natural operations on constructs, that are variations on the notion of shuffling, and show that that they give rise to free algebras over four operads, respectively. This is work in progress, the goal being to extend the recipe to other interesting families

of polytopes.