# Séminaires : Séminaire d'Algèbre

 Equipe(s) : gr, Responsables : J. Alev, D. Hernandez, B. Keller, Th. Levasseur, et S. Morier-Genoud. Email des responsables : Jacques Alev , David Hernandez , Bernhard Keller , Thierry Levasseur , Sophie Morier-Genoud Salle : à distance Adresse : IHP Description

 Orateur(s) Anthony JOSEPH - , Titre Canonical S-graphs, Catalan numbers and convexity Date 14/05/2018 Horaire 14:00 à 15:00 Résume The notion of an $S$-graph is introduced. These are not unique but for each positive integer there is a canonical family. Each member of the family is given by the natural ordering on n distinct positive integers. The total number of distinct canonical $S$-graphs is not n! but the Catalan number $C(n)$. Each member of the family gives a set of $2^n$ points in $Q^n$ which turn out to be the extremal points of a convex set. Salle à distance Adresse IHP