Spectra, automata and discrete analogues of the KdV equation

Andrzej Zuk (Paris 7)

Tuesday 2nd May, 2017 16:00-17:00 Boyd Orr 507


Box-Ball systems are discrete analogues of the KdV equation. We prove that their evolution can be described by automata. With these automata we associate self-adjoint operators. We relate spectral properties of these operators with L2 Betti numbers of closed manifolds.

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