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A technique to solve some isomonodromy deformation problems, with applications

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CATW01 - The complex analysis toolbox: new techniques and perspectives

Since the workshop focuses on new techniques and mathematical ideas within the area of complex analysis over the past few years, I will present an extension of the isomonodromy deformation theory which allows, in some non-generic cases, to perform explicit computations of monodromy data and fundamental solutions of isomonodromic systems in a relatively simple way. I will present applications to Painleve' equations and Frobenius manifolds (particularly quantum cohomology), based on joint works with G. Cotti and B. Dubrovin.

This talk is part of the Isaac Newton Institute Seminar Series series.

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