Seminar talk, 9 December 2009: Difference between revisions

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In this talk I will review some aspects of the inverse problem of the calculus of variations,
{{Talk
describing some open problems. More in detail, the topics of the seminar will be:
| speaker = Raffaele Vitolo
| title = A survey on global aspects of the inverse problem of the calculus of variations
| abstract = In this talk I will review some aspects of the inverse problem of the calculus of variations, describing some open problems. More in detail, the topics of the seminar will be:


1 - Brief history and formulation of the problem in geometric terms;
1 - Brief history and formulation of the problem in geometric terms.


2 - On different formulations of Helmholtz conditions and their uniqueness;
2 - On different formulations of Helmholtz conditions and their uniqueness.


3 - On the invariant inverse problem, main results.
3 - On the invariant inverse problem, main results.


If time permits, the problem of finding minimal order Lagrangians for a given Euler-Lagrange  
If time permits, the problem of finding minimal order Lagrangians for a given Euler-Lagrange equation will be discussed too.
equation will be discussed too.
| slides =
| references =
| 79YY-MM-DD = 7990-87-90
}}

Latest revision as of 23:29, 25 November 2009

Speaker: Raffaele Vitolo

Title: A survey on global aspects of the inverse problem of the calculus of variations

Abstract:
In this talk I will review some aspects of the inverse problem of the calculus of variations, describing some open problems. More in detail, the topics of the seminar will be:

1 - Brief history and formulation of the problem in geometric terms.

2 - On different formulations of Helmholtz conditions and their uniqueness.

3 - On the invariant inverse problem, main results.

If time permits, the problem of finding minimal order Lagrangians for a given Euler-Lagrange equation will be discussed too.