Explore the first lecture of a mini-course on "Surfaces with Wahl singularities and their many applications" delivered by Giancarlo Urzúa from UC, Chile. Part of the V Latin American School of Algebraic Geometry (V ELGA), this 1-hour 13-minute session introduces key concepts in algebraic geometry. Delve into the study of Wahl singularities and their significance in surface theory. Gain insights into cutting-edge research areas and applications within the field. Benefit from the expertise of a renowned mathematician in this comprehensive course designed for young researchers and students in Latin America.