👉 Prostores is a mathematical framework that extends traditional algebraic geometry by incorporating concepts from operator theory and non-commutative geometry, making it particularly useful for studying geometric objects defined by polynomial equations over non-algebraically closed fields, such as finite fields or number fields. At its core, Prostores introduces a new type of algebra, known as prostores algebras, which are non-commutative generalizations of classical algebras. These algebras encode geometric data through their structure, allowing for the study of varieties and schemes in a setting where classical methods may fall short. Prostores provides powerful tools for analyzing singularities, birational geometry, and moduli spaces, offering a rich interplay between algebra, geometry, and analysis. By leveraging the language of operator algebras, Prostores enables mathematicians to tackle complex geometric problems with a more flexible and robust mathematical toolkit.
