On 11 May seminar will be held online only.
Speaker: Ilia Gaiur
Title: Hamiltonian reduction and rational Calogero system
Language: English
Zoom:
https://us06web.zoom.us/j/8817121842?pwd=VnNnUWtjQXNIZjkvbEVhd3J5akR0Zz09
Zoom Passcode: 2501
Abstract:
In my talk I am going to give an introduction to the theory of the
moment map for the Hamiltonian group action on the symplectic manifolds
with the focus on Hamiltonian reduction and integrable systems. In
particular, I will show how to translate symmetries of the Hamiltonian
system 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 demonstrate how to obtain a rational Calogero system from the
free particle system on the cotangent bundle to the Lie algebra su(n).
The seminar meets on Wednesday evenings at 19:20 MSK in Zoom,
Meeting ID: 88 17 12 1842
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