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.


