Inverse Spectral Theory for Strings and the Conservative Camassa-Holm Flow

Explore the developments in spectral theory of generalized indefinite strings in this 36-minute conference talk from the Workshop on "Spectral Theory of Differential Operators in Quantum Theory" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the characterization of spectral measures and Weyl-Titchmarsh functions of Hilbert-Schmidt perturbations of model strings. Discover how these results apply to the conservative Camassa-Holm flow, where generalized indefinite strings serve as Lax operators. Learn about the joint work with J. Eckhardt from Loughborough University, focusing on inverse spectral theory for strings and its connections to mathematical physics.