Kulish-Fordy systems and their generalisations
Organizers
Speaker
Time
Monday, September 22, 2025 3:20 PM - 4:30 PM
Venue
A7-201
Abstract
We discuss construction of integrable and superintegrable Hamiltonian systems on n-dimensional Euclidean space that are invariant under the action of a subgroup of the rotation group SO(n) . These systems are related with the curvature tensor on one of the reductive homogeneous spaces and may be associated with the nonlinear matrix Schrodinger equations and N -wave equations hierarchies. For all these systems we know Lax pairs, classical r-matrices and a possible integrable generalization, but know nothing about integration of equations of motion and about their quantum counterparts.
Speaker Intro
Andrey Tsiganov currently works at the Department of Computational Physics, Saint Petersburg State University, Russia. His main research interests are integrable and superintegrable systems in classical and quantum mechanics, nonholonomic and vakonomic mechanics, geometry and topology of dynamical systems, see profile at https://www.researchgate.net/profile/Andrey-Tsiganov. He is one of the organizers of the BIMSA Integrable System Seminar, see https://researchseminars.org/seminar/BIMSA-ISS and https://sites.google.com/view/bimsa-iss.