Abstract: Schubert calculus is a subject in algebraic geometry and combinatorics that was initially developed to solve enumerative problems in projective geometry. In this talk, I will discuss classical Schubert calculus on the Grassmannian and its modern connections to algebraic topology and intersection theory. We will see how Schubert calculus gives rise to combinatorial formulas such as Pieri's rule and how they are used explicitly solve enumerate problems.
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