Séminaire Jeunes chercheurs (Thibault Durand, jeudi 22 octobre 2026)

19 octobre 26

La prochaine séance du séminaire Jeunes chercheurs du CEREMADE aura lieu le jeudi 22 octobre 2026 à 17h en salle A709. Nous aurons le plaisir d'écouter Thibault Durand (LPSM, Sorbonne Université), qui nous parlera de


XY model : BKT transition and height function duality.


Abstract
The XY model is a derivative of the Ising model, where each spin is taken in the sphere S^1 instead of {+/- 1}. This new model does not exhibit a regular magnetisation phase transition, but one of a different kind called BKT transtion. This talk explores the BKT transition for the XY model, and explains the existing duality between this model and a height function model. After that, I'll use this duality to focus on one core theorem we proved in our joint work with my supervisor Piet Lammers : the Reverse Ginibre Inequality.