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.