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Online seminář z diferenciální geometrie - 7.6.2021 |
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Seminář z diferenciální geometrie pokračuje 7.6.2021 od 10:00 online na platformě MS Teams a v zasedací místnosti ÚMS (druhé patro).
Připojení ke schůzce ZDE. Radek Suchánek (Masaryk University):Some remarks on variational nature of Monge-Ampère equations in dimension four Abstrakt:
I will present a necessary condition for the local solvability of the strong inverse variational problem in the context of Monge-Ampère partial differential equations and first-order Lagrangians. In contrast with the previous talk by Marcus Dafinger, this condition is given by comparing differential forms on the first jet bundle and is valid only for the aforementioned PDEs. To illustrate how this approach can be applied, we will examine the linear Klein-Gordon equation, first and second heavenly equations of Plebanski, Grant equation, and Husain equation.
I will also speak about the drawbacks of the method when trying to generalize it to a system of equations. |
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Aktualizováno Čtvrtek, 03 Červen 2021 09:13 |
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Online seminář z diferenciální geometrie - 31.5.2021 |
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Seminář z diferenciální geometrie pokračuje 31.5.2021 od 10:00 online na platformě MS Teams a v zasedací místnosti ÚMS (druhé patro).
Připojení ke schůzce ZDE. Marcus Dafinger (University of Jena):On formal calculus of variations, Cartan formula and Noether's theorem Abstrakt:
We give an introductory talk on the formal calculus of variations. Concepts from differential geometry, like Lie-derivative, exterior derivative and Cartan formula will be related to first variation, Helmholtz map and a kind of related Cartan formula. With the help of these operations we then formulate Noether's theorem and present some results on the so-called Takens' problem. |
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Aktualizováno Čtvrtek, 27 Květen 2021 09:24 |
