An introduction to the KPZ universality class
19/01/2026 — 23/01/2026
@ P3.10, Mathematics Building, Alameda campus, Instituto Superior Técnico, Lisboa, Portugal
This minicourse explores the heart of the Kardar-Parisi-Zhang (KPZ) universality class. It will focus on deriving explicit formulas for the KPZ fixed point—the universal scaling limit governing fluctuations in models of random growth, directed polymers, and particle systems. The course will use a mix of probabilistic and integrable methods to uncover the fixed point''s structure and its deep connections to random matrix theory and some classical integrable equations. The lectures will begin with a broad overview, require minimal prerequisites, and welcome researchers from physics and mathematics.


