Seminar talk, 26 April 2017

From Geometry of Differential Equations
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Speaker: Oleg Morozov

Title: Deformations and extensions of infinite-dimensional Lie algebras and integrable nonlinear equations

The tensor product of the algebra of truncated polynomials and the algebra of vector fields on a line is a Lie algebra with the non-trivial deformation. In its turn this deformation has some non-trivial extensions. In the talk I will show that Maurer-Cartan forms of the extensions generate Lax representations for some nonlinear differential equations.