Stochastic Analysis meets QFT - critical theory
Over the last years, a number of new methods from stochastic analysis have been developed that allowed a new perspective on constructive field theory. Among these are the theory of singular stochastic PDEs, Barashkov-Gubinelli’s variational approach, and constructive approaches to Polchinski's continuous renormalisation group flow. While much progress has been made on controlling small scales for subcritical/superrenormalisable models there is much less known regarding the same question for critical/just-renormalizable models.
The constructive renormalisation programme has been successfully applied to quantum field theories of matrix models and tensor models. Matrix models tend to be asymptotically safe and tensor models asymptotically free at their critical dimension. These models are comparably simple and thus provide an ideal target to extend the above stochastic analysis methods to critical dimension.
The aim of this short workshop is to bring together some leading experts from both the stochastic analysis community and the QFT community to explore these exciting developments further.
This workshop is planned in close coordination with the related workshop "From perturbative to non-perturbative QFT", 14-16 June 2023.
Speakers
Roland Bauerschmidt (Cambridge) *tbc
Yvain Bruned (Université de Lorraine)
Martin Hairer (Imperial College)
Sabine Harribey (Nordic Institute for Theoretical Physics, Stockholm)
Francesco de Vecchi (University of Pavia)
Fabien Vignes-Tourneret (Lyon)
Rongchan Zhu (Beijing Institute of Technology)
Xiangchan Zhu (Chinese Academy of Sciences)
Organisers
Ajay Chandra (Imperial College)
Hendrik Weber (Münster)
Raimar Wulkenhaar (Münster)
Schedule
| Mon 12 June | Tue 13 June | Wed 14 June | |
| 9:00-9:50 | Nikolay Barashkov | Margherita Disertori | Nguyen Viet Dang |
| 9:50-10:20 | Coffee break | ||
| 10:20-11:10 | Rongchan Zhu Slides |
Yvain Bruned Slides |
Alexander Hock Slides |
| 11:10-11:30 | Break | ||
| 11:30-12:20 | Razvan Gurau Slides |
Nikos Zygouras |
Sabine Harribey |
| 12:20-14:00 | Lunch | ||
| 14:00-14:50 | Francesco de Vecchi Slides |
Martin Hairer | Vincent Rivasseau Slides |
| 14:50-15:20 | Coffee break | ||
| 15:20-16:10 | Nicolas Perkowski | Hao Shen | Léonard Ferdinand Slides |
| 16:10-16:30 | Break | ||
| 16:30-17:20 | Xiangchan Zhu Slides |
Ilya Chevyrev Slides |
Thomas Krajewski Slides |
| 17:20-17:30 | Break | ||
| 17:30-18:20 | Luca Fresta | Zhituo Wang Slides |
|
| 18:30-21:00 | Reception: Wine + Cheese |
Conference Dinner A2 Restaurant |
Reception: Wine + Cheese |
The Zoom link for all talks of the workshop is:
- Zoom link
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Meeting ID: 622 5168 4034
Video recordings of the talks are posted (when the speakers agree) in this Playlist on the YouTube channel "Mathematics Münster". (Note: Clicking on the link will take you to the YouTube website. During this process, data will be transmitted to YouTube.)
Conference impressions
Talk by Martin Hairer (Imperial College) on on the role of symmetry in renormalisation.© MM/vl I Talk by Martin Hairer (Imperial College) 
© MM/vl
Registration
Please register for the workshop Stochastic Analysis meets QFT - critical theory (12-14 June) via: https://wwuindico.uni-muenster.de/event/1851/
Registration for the related workshop From pertubative to non-pertubative QFT (14-16 June) is possible here: https://wwuindico.uni-muenster.de/event/1899/
Support and child care
Child care is available free of charge for all participants of the workshop.
Venue and Travel Information
The conference takes place in room SRZ 216/217 on the second floor of the seminar building located at
Orléans-Ring 12
48149 Münster
Germany
Directions can be found on openstreetmap or on the Campus map of the University of Münster.
Detailed travel information can be found on the MM websites.
Download: Information for conference guests / Informationsblatt für Tagungsteilnehmer*innen [enIde]
Accommodation
Workshop participants are welcome to book accommodation via the links to the portal of Münster Marketing below (about 40 hotel offers at different fares).
Period of stay:
Please note that arrival and departure dates may be modified to fit your travel plans when booking.
Hotels (among others):
Hostels:
Poster
You are welcome to download the poster and display it at your institution.
Sponsors
The conference is supported by the ERC Grant "Global Estimates for Singular Stochastic PDEs" and the Cluster of Excellence Mathematics Münster.
