Seminar talk, 6 March 2019

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Speaker: Oleg Morozov

Title: Lax representations, integrable hierarchies, and non-central extensions of symmetry algebras of differential equations

Abstract:
I will talk about the technique for finding Lax representations of nonlinear PDEs via non-central extensions of their symmetry algebras that are generated by non-trivial exotic 2-cocycles. Examples will include Lax representations with non-removable spectral parameters and integrable hierarchies associated with some nonlinear PDEs.

Slides: Morozov_2019-03-06.pdf