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Grigori Giorgadze (Tbilisi State University)
Monday 01 July 2024, 15:30-15:40
On explicit factorization of piecewise constant matrix functions
â ī¸ Important: WHTW02 - WHT Follow on: the applications, generalisation and implementation of the Wiener-Hopf Method
- đ¤ Speaker: Grigori Giorgadze (Tbilisi State University)
- đ Date & Time: Monday 01 July 2024, 15:30 - 15:40
- đ Venue: Seminar Room 1, Newton Institute
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Abstract
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
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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