I review my talk at Bedlewo, dealing with a differential system depending on deformation parametrs, with a Fuchsian singularity at z=0, and an irregular one at z=infinity of Poincare' rank 1. The eigenvalues of the leading matrix at z=infinity may coalesce along a coalescence locus. In the recent paper with Cotti and Dubrovin, the isomonodromic deformation theory has been extended to this non-generic case, which was not considered by Jimbo, Miwa and Ueno. We explain this extension, with applications.
Isomonodromy Deformations with Coalescent Eigenvalues and Applications - Będlewo 2018 / Guzzetti, Davide. - (2020), pp. 313-325. (Intervento presentato al convegno Complex Differential and Difference Equations tenutosi a Bedlewo, Poland nel September 2-15, 2018) [10.1515/9783110611427-011].
Isomonodromy Deformations with Coalescent Eigenvalues and Applications - Będlewo 2018
Guzzetti, Davide
2020-01-01
Abstract
I review my talk at Bedlewo, dealing with a differential system depending on deformation parametrs, with a Fuchsian singularity at z=0, and an irregular one at z=infinity of Poincare' rank 1. The eigenvalues of the leading matrix at z=infinity may coalesce along a coalescence locus. In the recent paper with Cotti and Dubrovin, the isomonodromic deformation theory has been extended to this non-generic case, which was not considered by Jimbo, Miwa and Ueno. We explain this extension, with applications.| File | Dimensione | Formato | |
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