Rigidity in the Toda lattice

Daniel Tsodikovich (ISTA)

Abstract: The Toda lattice is a completely integrable mechanical Hamiltonian system, in which particles interact according to nearest neighbor interaction law. We study deformations of the Toda Hamiltonian, and show that within certain classes of deformations, the integrability of the Toda lattice is rigid. This is a joint work with Vadim Kalsohin and Illya Koval.