|XXXVII Workshop on Geometric Methods in Physics||1-7.07.2018|
|VII School on Geometry and Physics||25-29.06.2018|
On canonical parametrization of phase spaces of Isomonodromic Deformation Equations
Phase spaces of the equations of the Isomonodromic Deformations are rational symplectic manifolds glued from several coadjoint orbits of the general linear group. Even in the simplest case of the Painlevé VI equation it is non-trivial problem to introduce proper coordinates and write down the equation. I will explain several ways to do it for P VI-equation and demonstrate how the methods work for more complicated cases.
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