Seminar on Combinatorics, Lie Theory, ​and Topology

Maps enumeration and Symmetric functions

by Houcine Ben Dali (Université de Lorraine)

Aula Magna (Department of Mathematics)

Aula Magna

Department of Mathematics


A map is a graph which is drawn on a compact orientable surface. There exist various results relating the generating series of maps to the theory of symmetric functions. In this talk, I present two different approaches which allow to relate the generating series of bipartite maps to the symmetric Schur functions; the first approach uses representation theory tools, and the second one is based on a decomposition equation of maps called Tutte equation.