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VERSION:2.0
PRODID:-//Memento EPFL//
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SUMMARY:On potentials whose level sets are orbits
DTSTART:20241122T141500
DTSTAMP:20261004T230928Z
UID:e12d1af441b205b3884482f65fc514aa4f7ecf65e4d20c5c5e46e497
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Philippe Bolle (University of Avignon - France)\nAbstrac
 t\nA level orbit of a mechanical Hamiltonian system is a solution of the e
 quation of motion that is contained in a level set of the potential energy
 . In this talk we shall answer the following question : what can be said a
 bout smooth potential energy functions on the plane such that any point of
  the plane lies on a level orbit? We call such functions Levi potentials. 
 We shall see that if a Levi potential is analytic\, then it is necessarily
  radial. However any convex compact subset of the plane is the critical se
 t of a Levi potential. The proof of these results relies on the properties
  of the inverse curvature flow.\nThis is a joint work with M. Mazzuchelli 
 and A. Venturelli.\n 
LOCATION:MA B1 11 https://plan.epfl.ch/?room==MA%20B1%2011
STATUS:CONFIRMED
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