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)
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:
- Quantum Field Theory
- 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 :
- Théorie quantique des champs
- 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
Michael Aizenman (Princeton University)
Tomas Alcalde Lopez (TU Wien) Complex multiplicative chaos and the Ashkin-Teller model
Juhan Aru (EPFL)
Mikhail Basok (University of Helsinki)
Philémon Bordereau (EPFL) Conformal uniformization of CLE
Harini Desiraju (University of Oxford)
Frank Ferrari (Brussels University)
Alexander Goncharov (Yale University) Weighted exponential volumes of moduli spaces of hyperbolic surfaces
Colin Guillarmou (Université Paris-Saclay)
Trishen Gunaratman (TIFR Mumbai and ICTS Bengaluru)
André Henriques (University of Oxford) Fully extended functorial CFTs from conformal nets
Lotte Hollands (Heriot-Watt University & Maxwell Institute for Mathematical Sciences) Liouville Blocks from Spectral Networks
Yulai Huang (Aix-Marseille Université) Hölder-type estimates for Gaussian multiplicative chaos and coupled Liouville CFTs
Nathan Huguenin (Aix-Marseille Université) Higher equations of motion in mathfraksl3 boundary Toda Conformal Field Theory
Ilya Losev (Oxford University) Around Schwarzian Field Theory
Sid Maibach (ETH Zürich) Central extensions of the Segal moduli spaces
Ellen Powell (Durham University) Scaling limits of critical FK-decorated maps at q=4
Romain Usciati (Université Paris-Saclay) Local conformal structure of Imaginary Liouville Theory
Nguyen Viet Dang (Université de Strasbourg) The Atiyah–Bott–Goldman volume as semiclassical limit of the Yang Mills measure on surfaces
Fredrik Viklund (KTH Royal Institute of Technology) The Brownian bubble tea
Thomas Wasserman (Aalto University) A discrete factorisation algebra approach to the free boson
Baojun Wu (Peking University) Analyticity of Virasoro Conformal Blocks
SPONSORS
