Titlebook: Geometric Methods in Physics XXXVII; Workshop and Summer Piotr Kielanowski,Anatol Odzijewicz,Emma Previato Conference proceedings 2019 Spr

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About the solutions to the Witten–Dijkgraaf– Verlinde–Verlinde associativity equations and their Lieystem of the Lax–Sato type vector field equations made it possible to derive the determining separated Hamiltonian evolution equations for the related structure matrices, generating commutative and isoassociative algebras under consideration.

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On canonical parametrization of phase spaces of Isomonodromic Deformation Equationsis constructed from the orbits of (co)adjoint representation of the general linear group. The presented parametrisation of the quotientspace is based on the construction of the flag coordinates on the orbits. The simplest non-trivial case that is Painlevé VI case is considered as an example.

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