Seminar talk, 26 April 2017

Speaker: Oleg Morozov

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

Abstract:
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.