Schubert classes
Schubert classes are important concepts in algebraic geometry, particularly in the study of Grassmannians, which are spaces that parameterize linear subspaces of a given vector space. Each Schubert class corresponds to a specific geometric condition on these subspaces, allowing mathematicians to understand their arrangement and intersection properties.
These classes are represented by cohomology classes in the cohomology ring of the Grassmannian. They play a crucial role in various areas of mathematics, including intersection theory and enumerative geometry, helping to solve problems related to counting geometric configurations and understanding their properties.