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Integrable refactorization systems and Yang-Baxter maps

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Discrete Integrable Systems

We present matrix refactorization problems related to Lax representations of Yang-Baxter maps. First degree polynomial Lax matrices can be considered as basic building blogs of higher dimensional Yang-Baxter maps. Initial value problems on lattices give rise to families of Poisson maps which preserve the spectrum of their monodromy matrix.

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

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