Winter Pre-School on Combinatorics and Interactions
January 9 – 13, 2017

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)


Peeling Random Planar Maps

Characters, maps, free cumulants

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

Hurwitz numbers    (exercises)

Research talks

Studying permutation classes using the substitution decomposition   (slides)

Flat surfaces and combinatorics

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

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

Monotone Hurwitz numbers and the HCIZ integral​   (slides)

Universality of fluctuations of the dimer model   (slides)