22 Sept.- 17 Oct. 2025

PROGRAM

🔵 Lectures (1,2,3, 1h each) | 🟢 Long Talks (1h) | 🟡 Short Talks (30mins)

—> Morning sessions (10:00–13:00) can be attended remotely via Zoom at the following link (Please note that even the speakers has to connect on this link to present in person):

Participer à la réunion Zoom

Week 2: https://zoom.us/j/99697750325?pwd=6B4fv6qAb0SEPPFlhT1sZ12VLNbFKO.1

ID de réunion: 996 9775 0325 Code secret: 553446

—> Afternoon sessions (14:00–16:00) can be attended remotely via Zoom at the following link:(Please note that even the speakers has to connect on this link to present in person):

Week 2: https://zoom.us/j/99101654562?pwd=k8V2ksva1WauXnHxMSp4SWwoUyaXl1.1 ID de réunion: 991 0165 4562 Code secret: 151846

Participants

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Reaching the Institut Pascal

Participant guide

Restaurants

Access to the building

Code of conduct

Main research problems that will be addressed during the 4-weeks program are:

1. Construction of full non-chiral 2d Logarithmic CFTs, with the aim of better understanding their correlation functions. A focus here will be new methods and approaches originating from Probability Theory, Quantum Topology and Tensor Categories.

2. Probabilistic construction of non-rational CFTs, logarithmic CFTs, with the focus on Liouville type theories and their applications to geometric statistical models.

3. New non-semisimple 3d TQFT construction of non-chiral 2d LCFTs with the aim to understand the physical correlation functions.

4. Properties of physically relevant categories arising in such CFTs/VOAs that go beyond established mathematical theory, eg. non-rigid objects, non-semisimple tensor units, infinitely many simple objects, BGG reciprocity and being a highest-weight category.

Scientific subjects of the program:

1. Correlation functions in CFT via representation theory of vertex operator algebras

2. Probabilistic approach to correlation functions in CFT (e.g. Liouville theory)

3. Tensor categories and quantum algebras as mathematical structures arising from CFTs

4. Quantum topology and 3d TQFT as topological tools to study correlation functions

Organisers:

• Colin Guillarmou (CNRS, Laboratoire de Mathématiques d'Orsay)
• Azat M. Gainutdinov (CNRS, Institut Denis Poisson, Université de Tours)
• Florencia Orosz Hunziker (Mathematics Department at the University of Colorado Boulder)
• David Ridout (School of Mathematics and Statistics, University of Melbourne)
• Christoph Schweigert (Mathematics Department of Hamburg University)
• Raoul Santachiara (CNRS, LPTMS, Université Paris-Saclay)
• Vesna Cupic (Institute Pascal - Orsay )

Scientific Committee:

• Hubert Saleur (IPHT Saclay/CEA, France)
• Katrina Barron (University of Notre Dame, USA)
• Antti Kupiainen (University of Helsinki, Finland)
• Pavel Etingof (Math Department MIT, USA)

CFT: Algebraic, Topological and probabilistic approaches in Conformal Field Theory