November 26, 2020. M. I. Belishev. Algebras and functional models of operators and systems in inverse problems of Mathematical Physics.

The talk presents the main ideas and recent results one of an approaches to inverse problems – the Boundary Control Method (BCM). The BCM is a pronounced interdisciplinary approach that uses deep (sometimes quite unexpected) connections between various branches of mathematics. In their including: control theory and systems theory, asymptotic methods (geometric optics), Riemannian geometry, Banach algebras and C*-algebras, operator theory (functional models), etc. Among the results there are the solution of the 2-dimensional impedance tomography problem tomography for non-orientable surfaces, wave model of metric spaces and operators, de Branges spaces in light of the "time-frequency" dualism, etc.

List of talks at previous sessions of the seminar.