This school, introducing the eponymous trimester at the Institut Henri Poincaré, aims at bringing together different aspects of modern combinatorics, in the following particularly active fields : asymptotic representation theory, the study of random maps and dimer models, enumerative geometry and moduli spaces. The programme will consist in four introductory courses and six research talks.

Scientific Committee

Alexei Borodin (MIT)
Sylvie Corteel (Université Paris Diderot)
Bertrand Eynard (IPhT, CEA Saclay)
Ian Goulden (University of Waterloo)
Jean-François Le Gall (Université Paris-Sud)

Organizing Committee

Jérémie Bouttier (IPhT, CEA Saclay)
Guillaume Chapuy (Université Paris Diderot)
Enrica Duchi (Université Paris Diderot)

Mini-courses

• ​Nicolas Curien (Université Paris-Sud)

Peeling Random Planar Maps

• Piotr Sniady (Adam Mickiewicz University, Poznan)

Characters, maps, free cumulants

• Béatrice de Tilière (Université Paris Est Créteil)

Dimers and related models in statistical mechanics   (slides)   (exercises)

• Dimitri Zvonkine (Université Pierre et Marie Curie)

Hurwitz numbers    (exercises)

Research talks

• Mathilde Bouvel (University of Zürich)

Studying permutation classes using the substitution decomposition   (slides)

• Élise Goujard (Université Paris-Sud)

Flat surfaces and combinatorics

• Danilo Lewanski (University of Amsterdam)

Orbifold Hurwitz numbers, topological recursion and ELSV-type formulae   (slides)

• Alexander Moll (Institut des Hautes Études Scientifiques)

A new spectral theory for Schur polynomials and applications   (slides)

• Jonathan Novak (University of California, San Diego)

Monotone Hurwitz numbers and the HCIZ integral​   (slides)

• Gourab Ray (University of Cambridge)

Universality of fluctuations of the dimer model   (slides)