# Matteo Mucciconi: A bijective approach to solvable KPZ models

**Time: **
Tue 2022-11-08 15.15 - 16.15

**Location: **
Zoom

**Video link: **
Meeting ID: 698 3346 0369

**Participating: **
Matteo Mucciconi (University of Warwick)

### Abstract

Explicit solutions of random growth models in the KPZ universality class have attracted, in the last two decades, significant attention in Mathematical Physics. A common approach to the problem, explored in the last 15 years, leverages remarkable relations between the KPZ equation and quantum integrable systems. Here, I will introduce a new approach to the solutions of KPZ models, based on a bijection discovered by Imamura, Sasamoto and myself last year. This is a generalization of the celebrated Robinson-Schensted-Knuth correspondence relating at once**1)**solvable growth models,

**2)**determinantal point processes of free fermionic origin and

**3)**models of Last Passage Percolation on a cylinder. I will enumerate some of the early applications of this new approach and I will give an overview of the technical tools needed, that include Kashiwara's crystals or the inverse scattering method for solitonic systems.