Random Matrices and Scaling Limits
August 28 - December 13, 2024
Random matrix theory has its origin in mathematical statistics and quantum physics, and has seen a very strong development in the last 30 years. It has become very diversified with connections to many parts of mathematics including probabilistic models of a statistical mechanical nature, statistics, interacting particle systems, stochastic partial differential equations, enumerative geometry, combinatorics, representation theory, number theory, spectral theory, special functions, integrable systems and random graphs. Applications come from many areas like quantum and statistical physics, quantum information theory, statistics, machine learning and data science, telecommunications and more. Inspiration and new interesting models come from many areas and the program aims to bring together people with different competencies hopefully leading to cross-fertilization, and new developments on some of the central mathematical problems. The emphasis of the program is towards the analytical aspects of the field, in particular the establishing of natural scaling limits and their properties. The main themes of the workshop include:
- Random growth models and KPZ-universality
- Dimer models and random tilings
- Gaussian multiplicative chaos and the Gaussian Free Field
- Universality and limit theorems in random matrix ensembles
We aim to have 2-4 weekly seminars and/or other scientific activities throughout the program. There will also be two focus weeks with a more intensive schedule about two talks a day. These focus weeks are scheduled for September 2 – 6, 2024 and October 14 – 18, 2024.
Seminars
Participants
Name | University | Country | Arrival and Departure |
---|---|---|---|
Jinho Baik | University: University of Michigan | City: United States | Arrival and Departure: Sep 1, Oct 13 - Sep 7, Oct 20, 2024 |
Paul Bourgade | University: New York University | City: United States | Arrival and Departure: Oct 6 - Oct 19, 2024 |
Jonathan Breuer | University: The Hebrew University of Jerusalem | City: Israel | Arrival and Departure: Aug 28 - Dec 13, 2024 |
Sunil Chhita | University: Durham University | City: United Kingdom | Arrival and Departure: Aug 28 - Dec 13, 2024 |
Maurice Duits (Organizer) | University: KTH Royal Institute of Technology | City: Sweden | Arrival and Departure: Aug 28 - Dec 13, 2024 |
Laszlo Erdös | University: ISTA | City: Austria | Arrival and Departure: Sept 1 - Sept 20, 2024 |
Vadim Gorin | University: University of California, Berkeley | City: United States | Arrival and Departure: Sep 1 - Sep 14, 2024 |
Kurt Johansson (Organizer) | University: KTH Royal Institute of Technology | City: Sweden | Arrival and Departure: Aug 28 - Dec 13, 2024 |
Gaultier Lambert (Organizer) | University: KTH Royal Institute of Technology | City: Sweden | Arrival and Departure: Aug 28 - Dec 13, 2024 |
Elliot Paquette | University: McGill University | City: Canada | Arrival and Departure: Aug 28 - Nov 30, 2024 |
Kevin Schnelli (Organizer) | University: KTH Royal Institute of Technology | City: Sweden | Arrival and Departure: Aug 28 - Dec 13, 2024 |
Balint Virag | University: University of Toronto | City: Canada | Arrival and Departure: Aug 28 - Sep 10, 2024 |