### A journey from classical integrability to the large deviations of the Kardar-Parisi-Zhang equation

Mathematical Physics Seminar

17th March 2023, 1:45 pm – 3:30 pm

Fry Building, 2.04

In this talk, I will revisit the problem of the large deviations of the Kardar-Parisi-Zhang (KPZ) equation in one dimension at short time by introducing a novel approach which combines field theoretical, probabilistic and integrable techniques.

My goal will be to expand the program of the weak noise theory, which maps the large deviations onto a non-linear hydrodynamic problem, and to unveil its complete solvability through a connection to the integrability of the Zakharov-Shabat system.

I will show that this approach paves the path to understand the large deviations for general initial geometry.

This is based on the work arXiv:2103.17215 (https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.127.064101) with P. Le Doussal.

*Biography:*

TBA

*Organiser*: Thomas Bothner

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