All roads to the KPZ universality class

All roads to the KPZ universality class

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.

The deadline to apply for support to participate in this workshop has passed.

For more information email workshops@aimath.org

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