Alejandro Morales Borrero (UQAM)

✒️ TITLE / TITRE
Recent advances in the study of flow polytopes of graph

📄 ABSTRACT / RÉSUMÉ
A flow polytope of a graph is the set of flows on the edges of the graph with prescribed net flows on vertices. Flow polytopes of graphs are a rich family of polytopes of interest in probability, optimization, representation theory, and algebraic combinatorics. Special cases of these polytopes have remarkable formulas for their volume related to the famous Selberg integral. I will give an overview of recent work on these polytopes including formulas that relate their volume to the number of lattice points, the lattice structure of their triangulations, and connections to representation theory of gentle quivers.

📍 PLACE / LIEU 
Hybride - PK-5115, Pavillon Président-Kennedy, UQAM

Le colloque sera précédé d'une pause café à 14h45 / The colloquium will be preceded by a coffee break at 2:45 p.m.