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Cohomological geometry of differential equations
June 22, 2020 15:00, Moscow, online
 


Lax representations via extensions and deformations of Lie symmetry algebras

O. I. Morozov
Video records:
MP4 130.0 Mb
Materials:
Adobe PDF 361.9 Kb

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O. I. Morozov


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Abstract: The challenging problem in the theory of integrable partial differential equations is to find conditions that are formulated in inherent terms of a PDE under study and ensure existence of a Lax representation. The talk will present the technique for constructing Lax representations via extensions of the contact symmetry algebras of PDEs. Also I will show examples that use deformations of infinite-dimensional Lie algebras for searching new integrable PDEs.

Materials: imu_talk_22_06_2020_short.pdf (361.9 Kb)

Language: English

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