Towards a Mathematical Theory of the ODE/IM Correspondence

Explore the mathematical foundations of the ODE/IM correspondence in this 58-minute lecture by D. Masoero from the University of Lisbon. Delve into the intricate connections between Ordinary Differential Equations (ODE) and Integrable Models (IM) in the context of Condensed Matter Physics and Quantum Field Theory. Gain insights into the ongoing research aimed at developing a rigorous mathematical framework for this correspondence, which has significant implications for understanding integrability in physical systems. Examine the theoretical underpinnings and potential applications of this approach, as presented by an expert in the field during an NCCR SwissMAP event.