Universität Bonn

Trimester Program: "Probabilistic methods in quantum field theory"


May 5 - August 15, 2025

Organizers: Roland Bauerschmidt, Eveliina Peltola, Ellen Powell, Rémi Rhodes, Eero Saksman

Description: Quantum field theories (QFTs) have been successfully applied, throughout the last 70 years, to model and analyze diverse physical phenomena; in particular, critical behavior in statistical mechanics, and interactions of fundamental particles. However, a rigorous mathematical framework to construct and understand these theories is still limited. This program will further pursue this direction, building on recent developments towards QFT coming from random geometry and probability theory. In particular, the goal is to bring together researchers with different viewpoints and expertise on this multifaceted topic.

With this combined expertise, the program aims at addressing some of the main challenges and key open questions in the field, including in the following areas: 

  • advances in quantum gauge theories in 3D and 4D
  • rigorous constructions of exactly solvable quantum field theories, especially in 2D
  • more generally, analysis of probabilistic aspects of quantum field theories
  • the theory of phase transitions, in particular for systems with continuous symmetry, and related phenomena

The program will include an introductory summer school and three workshops. For further information concerning these events, please see the above-mentioned links to the corresponding websites.

The online application platform to participate in this trimester program will be accessible approximately one year prior to the start of the program.


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Summer School "Probabilistic methods in quantum field theory"

May 12 - 16, 2025

Venue: HIM lecture hall (Poppelsdorfer Allee 45, Bonn)

Organizers: Roland Bauerschmidt, Eveliina Peltola, Ellen Powell, Rémi Rhodes, Eero Saksman

Description: TBA
 
The online application platform to participate in the school will be accessible shortly after the due date to apply for participation in the trimester program has expired.


Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this school, are eligible to attend this event.


Workshop: "Random geometry and its connections to QFT"

May 19 - 23, 2025

Venue: HIM lecture hall (Poppelsdorfer Allee 45, Bonn)

Organizers: Roland Bauerschmidt, Eveliina Peltola, Ellen Powell, Rémi Rhodes, Eero Saksman

Description: TBA

 
In case you are interested in participating in this event, please apply via the Trimester Program application platform. Please observe the application deadline.


Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this workshop, are eligible to attend this event.


Workshop: "Integrable QFT: conformal bootstrap, bosonization, near-critical perturbations, and Coulomb gas"

June 23 -27, 2025

Venue: HIM lecture hall (Poppelsdorfer Allee 45, Bonn)

Organizers: Roland Bauerschmidt, Eveliina Peltola, Ellen Powell, Rémi Rhodes, Eero Saksman

Description: TBA

 
In case you are interested in participating in this event, please apply via the Trimester Program application platform. Please observe the application deadline.


Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this workshop, are eligible to attend this event.


Workshop: "Gauge theories and spin systems: Yang-Mills theory, continuous symmetry, and disorder"

July 28 - August 1, 2025

Venue: HIM lecture hall (Poppelsdorfer Allee 45, Bonn)

Organizers: Roland Bauerschmidt, Eveliina Peltola, Ellen Powell, Rémi Rhodes, Eero Saksman

Description: TBA

 
In case you are interested in participating in this event, please apply via the Trimester Program application platform. Please observe the application deadline.


Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this workshop, are eligible to attend this event.


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