Seminar on Combinatorics, Lie Theory, and Topology
# Maps enumeration and Symmetric functions

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Europe/Rome

Aula Magna (Department of Mathematics)
### Aula Magna

#### Department of Mathematics

Description

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.