Dear Adherents of Hamiltonian Systems,
The next talk at our seminar by Ilia Gaiur, Birmingham, UK "Hamiltonian aspects of isomonodromic deformations: from simple poles to irregular singularities " is this coming Tuesday, March 8, 2022 at 12PM EST (8pm in Moscow, 6pm in Europe, 12noon in Toronto, 10am in Tucson, 9am in LA).
Zoom at
https://utoronto.zoom.us/j/99576627828Passcode: 448487
Abstract: In my talk I will give a review of the isomonodromic deformations for connections over the Riemann sphere with punctures with focus on the symplectic and Hamiltonian aspects. I will start with a classical example of the Schlesinger equations which are a non-autonomous version of the Gaudin model and correspond to the deformation of the Fuchsian connection. Then I will present our recent results with M.Mazzocco and V.Rubtsov (arXiv:2106.13760) on the irregular isomonodromic systems and will describe the phase space and Hamiltonians for the deformation equations for some special subspace of deformation parameters. If I will have time I also wish to discuss quantisation and irregular versions of the Knizhnik-Zamolodchikov equations.
Just a heads up on later talks:
We do not plan to have a talk on Tuesday March 22, since there will be a Fields workshop on a related topic Bracket structures in Mathematical Physics during the week of March 21, see the link.
The next two talks will be on April 5 and 19, 2022.
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