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The Conference will honor the 90th birthday of Vladimir A. Marchenko, an outstanding mathematician whose works on inverse spectral problems for differential operators and inverse scattering problems gave him world-wide recognition. His pioneering works on spectra of large random matrices and boundary value problems with fine-grained boundaries for differential operators laied the foundation of new areas of research in moderm mathematical physics and theory of partial differential equations. He is a founder and leader of a well-known Kharkiv school of mathematical physics.