Guillaume Baverez

activity

20182026

collaborators

4 papers

math.RT2026

Unitarising measures for Kac-Moody algebras

Guillaume Baverez

Given a compact connected Lie group $G$ with dual Coxeter number $h ˇ$ and a level $κ < - 2 h ˇ$ , we introduce a probability measure $ν_{κ}$ on the space of holomorphic $\mathf…

math.PR2025

Conformal welding and the matter--Liouville--ghost factorisation

Guillaume Baverez, Antoine Jego

We study the action of local conformal transformations on several measures related to the Gaussian free field and Schramm--Loewner evolutions. The main novelty of our work is a Cam…

math.PR2020

On the $lo g$ -regularity of SLE $_{4}$

Guillaume Baverez

We prove that the welding homeomomorphism of SLE $_{4}$ is almost surely $lo g$ -regular. In a previous version of this work, we had erroneously deduced its removability from this prop…

math.PR2018

Modular bootstrap agrees with path integral in the large moduli limit

Guillaume Baverez

Based on the rigorous path integral formulation of Liouville Conformal Field Theory initiated by David-Kupiainen-Rhodes-Vargas on the Riemann sphere and David-Rhodes-Vargas on the…

Unitarising measures for Kac-Moody algebras

Conformal welding and the matter--Liouville--ghost factorisation

On the log-regularity of SLE4​

Modular bootstrap agrees with path integral in the large moduli limit

On the $lo g$ -regularity of SLE $_{4}$