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Maps enumeration and Symmetric functions – Houcine Ben Dali (Université de Lorraine)

Venue

Department of Mathematics, Aula Magna.

Abstract

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.

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