Séminaire Jeunes chercheurs (Louis Detzen, jeudi 2 octobre 2025)

La prochaine séance du séminaire Jeunes chercheurs du CEREMADE aura lieu le jeudi 2 octobre 2025 à 17h en salle A707. Nous aurons le plaisir d'écouter Louis DETZEN (Ceremade), qui nous parlera de

Phase transitions for infinite systems of bosons and fermions

Abstract
The rigorous modelling of infinite systems, whether classical or quantum, is a very difficult problem that has occupied researchers since the 1960s. A very famous problem, essentially still completely open at the present time, concerns the existence and nature of phase transitions, particularly fluid-solid transitions. For instance, we are currently unable to prove that water becomes solid at 0 °C (under normal pressure conditions)! Most existing results pertain to discrete systems (on a lattice). We will explore some recent results about the existence of phase transitions for a infinite system of bosons particles, which come from an article written by Mathieu Lewin (CEREMADE, CNRS) and Phan Thành Nam (LMU Munich), as well as a few results with fermions that I worked on. I will show some numerical results in 1D as well.