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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > On explicit factorization of piecewise constant matrix functions

## On explicit factorization of piecewise constant matrix functionsAdd to your list(s) Download to your calendar using vCal - Grigori Giorgadze (Tbilisi State University)
- Monday 01 July 2024, 15:30-15:40
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. WHTW02 - WHT Follow on: the applications, generalisation and implementation of the Wiener-Hopf Method Within the framework of differential Galois theory, we provide a solution to the factorization problem of piecewise constant matrix functions that arise from Fuchsian systems of differential equations. We calculate the partial indices of these matrix functions using the methods of the Riemann-Hilbert monodromy problem. This allows us to determine the explicit form of the factorization and understand the behavior of these matrix functions in relation to the underlying Fuchsian system of differential equations. Co-Author I. Spitkovsky This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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