Loading [MathJax]/jax/output/HTML-CSS/fonts/TeX/fontdata.js

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

Original Announcement

This workshop 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.

Material from the workshop

A list of participants.

The workshop schedule.