Student Combinatorics Seminar

Given a vector space V of dimension n, the set of k-dimensional vector subspaces forms an algebraic variety known as the Grassmannian Gr(k, V), and certain enumerative geometry questions can be phrased as questions about its cohomology. Schubert calculus is the study of this cohomology ring, which can be analyzed combinatorially in terms of certain classes known as Schubert classes (which correspond to Young diagrams). In this talk I will give an introduction to Schubert calculus and its combinatorial aspects. Speaker(s): Michael Mueller