Kick-off event: AI and the future of mathematics and physics - 21.10.2026
In light of recent developments, the incoming kick-off event at the Institut Henri Poincaré will take the form of a debate gathering mathematicians and theoretical physicists around the role of AI in the practice of research. More information will come soon.
On the O(n) loop model on random maps
byJérémie Bouttier
Abstract:Maps are discrete surfaces obtained by gluing polygons, and form a natural model of random geometry. Of particular interest is the study of their large-scale properties, which has been an active field of research for more than 25 years. A major open question is the geometry of maps which are “decorated” by a statistical physics model at a critical point. I will present some results about a specific instance of such model, namely the O(n) loop model on random maps. Based on past and ongoing collaborations with G. Borot, E. Guitter, B. Duplantier, G. Miermont and J. Turunen.