Includes bibliographical references.

Guillermo Lopez Lagomasino: mathematical life ; A walk through approximation theory ; Asymptotic uniqueness of best rational approximants to complex Cauchy transforms in ^2 of the circle ; Quadrature rules on the unit circle. A survey ; On the multilinear trigonometric problem of moments ; Multiple orthogonal polynomial ensembles ; Some equivalent formulations of universality limits in the bulk ; Greedy energy points with external fields ; On asymptotic behavior of HeineStieltjes and Van Vleck polynomials ; Remarks on relative asymptotics for general orthogonal polynomials ; Fine structure of the zeros of orthogonal polynomials: a progress report ; A potentialtheoretic problem connected with complex orthogonality ; Orthogonal polynomials and approximation theory: some open problems Francisco Marcellan and Andrei MartinezFinkelshtein ; Bernardo de la Calle Ysern ; Laurent Baratchart and Maxim Yattselev ; L Garza and F Marcellan ; A Ibort P Linares and J G Llavona ; Arno B J Kuijlaars ; Eli Levin and Doron S Lubinsky ; A Lopez Garcia ; Andrei MartinezFinkelshtein and Evgenii A Rakhmanov ; E B Saff ; Barry Simon ; Herbert Stahl ; Walter Van Assche