AEC Summer School, 2014. Introduction to map enumeration
Here are some notes for the course, and the exercise sheet (If you were at the school, do not hesitate to ask for complements, references, or hints by email).
Here is a (corrected) version of the slides of the first lecture.
Here are some reference that can complement the course:
Some other complements to go further:
Bouttier, Di Francesco and Guitter's classical paper, for the bijective enumeration of planar maps by degree.
My paper with Féray and Fusy dealing with the enumeration of one-face maps.
- Goulden and Jackson's paper exposing the link between map enumeration and the KP hierarchy (see also here).
- A survey by Le Gall and Miermont on random maps (not covered in this course).
- Lando and Zvonkin's book for the link with algebraic geometry, and with matrix integrals (not covered in this course).