Explore a 38-minute lecture from the 15th ALGA (Commutative Algebra and Algebraic Geometry) conference, delivered by Victor Hugo Jorge Pérez at the Instituto de Matemática Pura e Aplicada in Rio de Janeiro. Delve into advanced topics in algebraic geometry, commutative algebra, and related fields such as number theory, code theory, and foliation. Gain insights from this prestigious event, which has been a cornerstone in the field for over two decades. Access additional resources, including the event page and full video playlist, to further enhance your understanding of these complex mathematical concepts. Benefit from the expertise of the organizing committee, comprised of renowned mathematicians from various Brazilian institutions.