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SUMMARY:Boris Kruglikov (UiT the Arctic University of Norway)
DTSTART:20250409T162000Z
DTEND:20250409T180000Z
DTSTAMP:20260423T024832Z
UID:GDEq/132
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/132/">O
 n inverse variational problem: examples</a>\nby Boris Kruglikov (UiT the A
 rctic University of Norway) as part of Geometry of differential equations 
 seminar\n\n\nAbstract\nInverse problem of the calculus of variations is a 
 vast subject with many results. I will discuss some examples related to OD
 Es\, making an emphasis on parametrized vs unparametrized problems.\n\nThe
  simplest and most studied case is about systems of second order different
 ial equations\, also known as path geometries. Here I will mention some re
 sults joint with Vladimir Matveev <a href="https://arxiv.org/abs/2203.1502
 9">arXiv:2203.15029</a>.\n\nThen I will discuss recent results joint with 
 Vladimir Matveev and Wijnand Steneker <a href="https://arxiv.org/abs/2412.
 04890">arXiv:2412.04890</a> about variationality of so-called conformal ge
 odesics. This system is given by third order differential equations\, whic
 h makes it rather unconventional for traditional approaches. I will also m
 ention an on-going project using the invariant variational bicomplex.\n
LOCATION:https://researchseminars.org/talk/GDEq/132/
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