Speaker
Jérémie Bouttier
(IPhT, CEA, University Paris-Saclay)
Description
Maps are discrete surfaces obtained by gluing polygons, and form an important model of 2D random geometry. Among the many approaches developed to study them, the bijective method has been instrumental in understanding their metric properties and their scaling limits.
Originally the method consisted in finding bijections between planar maps and certain labeled/decorated trees, called blossom trees or mobiles. It was more recently realized that the recursive structure of trees could be directly implemented at the level of maps, via the so-called "slice decomposition". I will present the main ideas of this method.
Based on collaborations with Emmanuel Guitter, Marie Albenque, and Grégory Miermont.
