CONFERENCE

Geometric and Probabilistic Aspects in Quantum Field Theory
Aspects géométriques et probabilistes de la théorie quantique des champs

31 August – 5 September, 2025

INTRANET FOR ORGANIZERS

Scientific Committee 
Comité scientifique 

Roland Bauerschmidt (New York University)
Giovanni Felder (ETH Zürich)
Eveliina Peltola (Aalto University and University of Bonn)
Rémi Rhodes (Aix-Marseille Université)
Xin Sun (Peking University)
Yilin Wang (IHES)

Organizing Committee
Comité d’organisation

Eveliina Peltola (Aalto University and University of Bonn)
Rémi Rhodes (Aix-Marseille Université)

IMPORTANT WARNING:  Scam / Phishing / SMiShing ! Note that ill-intentioned people may be trying to contact some of participants by email or phone to get money and personal details, by pretending to be part of the staff of our conference center (CIRM).  CIRM and the organizers will NEVER contact you by phone on this issue and will NEVER ask you to pay for accommodation/ board / possible registration fee in advance. Any due payment will be taken onsite at CIRM during your stay.

The topic of the conference has received growing interest during the past decade, invigorated by the recent probabilistic revolution in the study of QFT. Interaction across mathematical areas has already proved to be crucial in the advances of mathematically rigorous QFT. Our Summer School and Main Conference are tied together to optimize the gain from both events. During the event, we are focusing on the following aspects:

  • Rigorous Path-integral Formalism (Liouville, Toda, WZW models)
  • SLE/CLE, and their relation to Conformal Field Theory
  • Geometric VOAs and Conformal Blocks
  • Scaling Limits of Loop Models
  • JT gravity, Matrix Models, Mirzakhani’s recursion, and ADS/CFT

La thématique de notre conférence a suscité un intérêt croissant au cours de la dernière décennie, stimulé par la récente révolution probabiliste dans l’étude de la QFT. L’interaction entre les domaines mathématiques s’est déjà avérée cruciale dans les progrès de la QFT mathématiquement rigoureuse. Ainsi notre École de Recherche et la Conférence principale sont liées afin d’optimiser les bénéfices des deux événements. Les aspects suivants seront abordés :

  • Formalisme rigoureux de l’intégrale des chemins (modèles de Liouville, Toda, WZW)
  • SLE/CLE, et leur relation avec la théorie des champs conforme
  • VOAs géométriques et blocs conformes
  • Limites d’échelle des modèles à boucles
  • Gravité JT, modèles matriciels, récursion de Mirzakhani, et ADS/CFT

SPEAKERS

To be announced

SPONSORS

Peltola