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SUMMARY:Ilia Gaiur (University of Birmingham)
DTSTART:20220511T162000Z
DTEND:20220511T180000Z
DTSTAMP:20260423T024753Z
UID:GDEq/65
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/65/">Ha
 miltonian reduction and rational Calogero system</a>\nby Ilia Gaiur (Unive
 rsity of Birmingham) as part of Geometry of differential equations seminar
 \n\n\nAbstract\nIn my talk I am going to give an introduction to the theor
 y of the moment map for the Hamiltonian group action on the symplectic man
 ifolds with the focus on Hamiltonian reduction and integrable systems. In 
 particular\, I will show how to translate symmetries of the Hamiltonian sy
 stem to the first integrals using the moment map and what kind of systems 
 we may obtain by performing such reduction. As the main example\, I will d
 emonstrate how to obtain a rational Calogero system from the free particle
  system on the cotangent bundle to the Lie algebra $su(n)$.\n
LOCATION:https://researchseminars.org/talk/GDEq/65/
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