Séminaire Jeunes chercheurs (Lorenzo Vigolo, jeudi 16 avril 2026)

La prochaine séance du séminaire Jeunes chercheurs du CEREMADE aura lieu le jeudi 16 avril 2026 à 17h en salle A707. Nous aurons le plaisir d'écouter Lorenzo Vigolo (CEREMADE), qui nous parlera de

Spanning forests, dimers & partition probabilities.

Abstract
The goal of this talk is to give a flavor of the kind of mathematics used in my field (exactly solvable models in statistical mechanics) and of the kind of question I am trying to address in my first project as PhD student. In the first part of the presentation, after saying a few words about near-critical models, I will introduce the spanning forests model and the dimer model. I will give the main definitions and theorems for the case of finite graphs and explain the relation between the two models know as Temperley's bijection. During the second part of the talk I will introduce the concept of partition probabilities for the spanning forests model and explain the explicit formulas that are known for these quantities. Lastly, if time allows I would like to say a few words about scaling limits results comparing what is known for the critical case and near-critical case.