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for this workshop

All roads to the KPZ universality class

March 17 to March 21, 2025

at the

American Institute of Mathematics, Pasadena, California

organized by

Leonid Petrov and Axel Saenz Rodriguez

This workshop, sponsored by AIM and the NSF, will be devoted to recent advances in the Kardar-Parisi-Zhang (KPZ) universality class, which plays an increasing role in understanding various scaling phenomena in statistical physics and probability. The workshop aims to create a platform for various communities associated with the KPZ universality class to communicate, interact, and collaborate. Participants will share technical details of their work and point to further challenges and accessible open problems.

The main focuses of the workshop are:

  1. Build bridges between different descriptions of KPZ limiting objects: KPZ equation, KPZ fixed point, directed landscape, Airy sheet, stationary, and KPZ horizons. Create "good" (easier to verify) sufficient conditions for a system to belong to the KPZ universality class.
  2. Extend the rich discrete-level integrable structures (in particle systems, vertex models, percolation, and directed polymers in random environment) to KPZ limiting objects. Explain the phenomenon of how some of these structures translate into the classical KP integrable hierarchy for the KPZ fixed point.

This event will be run as an AIM-style workshop. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.

Space and funding is available for a few more participants. If you would like to participate, please apply by filling out the on-line form no later than November 17, 2024. Applications are open to all, and we especially encourage women, underrepresented minorities, junior mathematicians, and researchers from primarily undergraduate institutions to apply.

Before submitting an application, please read the description of the AIM style of workshop.

For more information email

Plain text announcement or brief announcement.