On 9 April seminar will be held online only.

Speaker: Boris Kruglikov
Title: On inverse variational problem: examples
Language: English
Zoom:
8817121842?
Zoom Passcode: 0904

Abstract:

Inverse problem of the calculus of variations is a vast subject with
many results. I will discuss some examples related to ODEs, making an
emphasis on parametrized vs unparametrized problems.

The simplest and most studied case is about systems of second order
differential equations, also known as path geometries. Here I will
mention some results joint with Vladimir Matveev
arxiv 2203.15029

Then I will discuss recent results joint with Vladimir Matveev and
Wijnand Steneker arxiv 2412.04890 about variationality
of so-called conformal geodesics. This system is given by third order
differential equations, which makes it rather unconventional for
traditional approaches. I will also mention an on-going project using
the invariant variational bicomplex.


The seminar meets on Wednesday evenings at 19:20 MSK in Zoom,
Meeting ID: 88 17 12 1842
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FROM 202.120.11.*