Explore a 36-minute lecture from the 15th ALGA (Commutative Algebra and Algebraic Geometry) conference, delivered by Herivelto Borges at the Instituto de Matemática Pura e Aplicada in Rio de Janeiro. Delve into advanced mathematical concepts, including introduction, setup, facts, P rank, P rank formula, examples, and proofs. Gain insights from this specialized talk, part of a week-long event covering Algebraic Geometry, Commutative Algebra, and related topics in Number Theory, Code Theory, and Foliation. Access additional resources, including the event page and full video playlist, to further enhance your understanding of these complex mathematical subjects.