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Seminar

The Charm of Integrability: From Nonlinear Waves to Random Matrices September 15, 2021 (11:00 AM PDT - 12:00 PM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Tamara Grava (University of Bristol; International School for Advanced Studies (SISSA/ISAS))
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Video

The Charm Of Integrability: From Nonlinear Waves To Random Matrices

Abstract/Media

To participate in this seminar, please register HERE.

The modern theory of integrable systems started with the discovery of integrability in a system with infinite degree of freedom, namely the Korteweg de Vries equation. Such equation, and many other integrable equations have a particular class of solutions called solitons that behave like an interacting particle system. I will consider the behavior of a soliton gas, and describe open problems. Next I will consider a class of integrable systems with random initial data and show its connection to random matrices.

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The Charm Of Integrability: From Nonlinear Waves To Random Matrices