### Analysis of solitonic interactions, and an initial connection to random matrix theory

Mathematical Physics Seminar

16th December 2022, 1:45 pm – 3:30 pm

Fry Building, 2.04

I will describe the interaction between a single soliton and a gas of solitons, providing for the first time a mathematical justification for the kinetic theory as posited by Zakharov in the 1970s. Then, if time permits, I will explain an initial connection to random matrix theory, in order to introduce randomness into a large collection of solitons. This is joint work with Manuela Girotti, Tamara Grava, Robert Jenkins, and Alexander Minakov.

*Biography:*

Talk recording: https://mediasite.bris.ac.uk/Mediasite/Play/7ed8b118bfbb4911bf8e0f9c3257b0831d

*Organiser*: Thomas Bothner

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