Seminar za geometriju i primene, 17. jun 2021.

• 14. Jun,  2021
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Naredni sastanak Seminara biće održan onlajn u četvrtak, 17. juna 2021. preko Zoom platforme sa početkom u 17:15.

Predavač: Dmitrij Milionščikov, Moskovski državni univerzitet

Naslov predavanja: THE CHARACTERISTIC LIE ALGEBRA OF KLEIN-GORDON EQUATION AND HIGHER SYMMETRIES

Apstrakt: Consider Klein-Gordon  equation written in the form $u_{xy}=f(u)$. We define characteristic Lie algebra  $\chi(f)$ as a Lie subalgebra in the Lie algebra of differential operators generated by two operators $$ X_0=\frac{\partial}{\partial u}, X_f= f\frac{\partial}{\partial u_1}+D(f)\frac{\partial}{\partial u_2}+\dots+D^{n 1}(f)\frac{\partial}{\partial u_n}+\dots,$$ where  $D=u_1\frac{\partial}{\partial u}+u_2\frac{\partial}{\partial u_1}+\dots+u_{n+1}\frac{\partial}{\partial u_n}+\dots$.

The properties of the characteristic Lie algebra  $\chi(f)$ are related to the integrability of Klein-Gordon equation. We are going to discuss characteristic Lie algebras of two integrable cases: sine-Gordon $f(u)=\sinh{h}$ equation and Tzitzeika $f(u)=e^u+e^{2u}$ equation.

Detalji pristupa:
https://zoom.us/j/96428521328?pwd=Z0NGRTdIcWI3N3R3dlQ1RWlsN0wvQT09
Meeting ID: 964 2852 1328
Passcode: 791041

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