I review topics of my talk in Alcalá, inspired by the paper [1]. An isomonodromic system with irregular singularity at \(z=\infty \) (and Fuchsian at \(z=0\)) is considered, such that \(z=\infty \) becomes resonant for some values of the deformation parameters. Namely, the eigenvalues of the leading matrix at \(z=\infty \) coalesce along a locus in the space of deformation parameters. I give a complete extension of the isomonodromy deformation theory in this case.


Isomonodromy deformation Stokes matrices Coalescing Eigenvalues Painlevé equations Frobenius manifolds 


Primary 34M56 Secondary 34M40 34M35 


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Authors and Affiliations

  1. 1.SISSATriesteItaly

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